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At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

1 anos atrás
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Example 1: What is the smaller angle between the two hands of the clock at 5:00 O’clock?

Sol : At 5 O’clock, the hour hand will be at 5 and the minute hand will be at 12. Now, they have a gap of 5 hour spaces and each hour space is 30 degrees. That means the angle between the two hands will be 30 × 5 = 150 degrees.

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Example 2: What is the smaller angle between the two hands of the clock at 2:20 pm?

Sol: At 2 O’clock the hour hand will be at 2 and the minute hand will be at 12. Now, they have a gap of 2 hour spaces and each hour space is 30 degrees. That means at 2:00 clock the angle will be = 30 × 2 = 60 degrees. After that in 20 min, the relative coverage of the minute hand will be 20 × 11/2 = 110 degrees. Now take the difference between the two angles, which will become our answer i.e. 110 - 60 = 50 degrees.
Besides that, there is another method. As discussed, in 12 hrs, hour hand travels 360 degrees. Thus, in 2 hrs 20 min i.e. 2 1/3 hrs it will travel (360/12) × (7/3) = 70 degrees. Angle traced by min hand in 60 min = 360 degrees. Angle traced by it in 20 min = 20 × 360/60 = 120 degrees.

Required angle is the difference between the two = 120 – 70 = 50 degrees.

Example 3: At what time between 3 and 4 are the minute and hour hand together?

Sol: At 3 O’clock, the relative distance between the hour and the minute hand is 15 minutes. To catch up with the hour hand, the minute hand has to cover a relative distance of 15 minutes at the relative speed of 11/12 minutes per minute.

Thus, time required = 15/(11/12) = 15 × 12/11 = 180/11 = 16 4/11 min.

Example 4: The minute hand of a clock overtakes the hour hand at intervals of 63 minutes of correct time. How much does the clock lose or gain in a day?

Sol: In a correct clock, the minute hand and hour hand should meet after every 65 5/11 min. But we know that they are meeting after every 63 minutes. So gain in 63 minutes is 27/11 minutes.

Gain in 24 hours =(24 ×60/63) × (27/11) = 56 8/77 min.

Example 5: At what time between 4 and 5 are the minute and hour hand at right angles?

Sol: At 4 O’clock, the relative distance between the hour and the minute hand is 20 minutes. To make a 90–degree angle with the hour hand, the minute hand has to cover a relative distance of 5 minutes at the relative speed of (11/12) minutes per minute. Thus, time required = 5/(11/12) = 60/11 or 5 (5/11) minutes. As explained above in important points, there is still one more case. When a relative distance of 35 minutes has been covered, even then the angles would be at right angles. Time required = 35/(11/12) = 420/11 or 38(2/11) minutes

You can also think that the difference between the two right angles themselves be equal to 30 min. In one of the right angles, the minute hand will be 15 min before the hour hand and in the other; it will be 15 min ahead of the hour hand.

Example 6: A watch gains uniformly. It was observed that it was 6 min slow at 12 o’clock in the night on Monday. On Friday at 6 pm it was 4 min 48 second fast. When was it correct?

Sol:The time between 12 O’clock on Monday night and 6 pm on Friday = 90 hours. Now, the watch gains 6 + 4 4/5 min 6 + 24/5 = 54/5 minutes in 90 hours. So, the watch gains 6 minutes in (90×5×6)/54 = 50 hours

Add 50 hours in Monday 12’O clock night, thus the watch is correct at 2:00 am on Thursday.

Example 7: A clock is set right at 10 am. The clock gains 5 minutes in 12 hours. What will be the true time when the clock indicates 3 pm on the next day?

Sol: Time from 10 am to 3 pm on the following day is 29 hrs. Now, 12 hrs 5 min i.e. 145/12 hrs of this clock = 12 hours of correct clock. So, 29 hours of this clock is (29×12×12)/145 = 144/5 = 28 hours 48 minutes.

So, the time is 12 minutes before 3 pm.

Example 8: The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time. How much does the clock lose or gain in 12 hours?

Sol: In a correct clock, the minute hand and hour hand should meet after every 65 5/11 min. But we know that they are meeting after every 65 minutes. So, the gain in 65 minutes is 5/11 minutes.

Gain in 12 hours = (120×60/65) × (5/11) = 720/143 = 5 5/143 min.

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Example 9: At what time between 4 and 5, the minute hand will be 2 minutes spaces ahead of hour hand?

Sol: At 4 O’ clock, the two hands are 20 min spaces apart. In this case, the min hand will have to gain (20 + 2) i.e. 22 – minute spaces. So, 22 – minute spaces will be gained in (60/55) × 22 = 24 min.

Angle between hour and minute hand at 7 o'clock

Here we will show you how to calculate the angle in degrees made by the hour hand and minute hand on a 12-hour clock at 7 o'clock. Below is an image of what the clock looks like at seven o'clock (7 o'clock) so that you can see where the hour hand and the minute hand are located.

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Before we continue, note that a clock is shaped like a circle and is composed of 360 degrees. There are 60 minutes in an hour, and 360 degrees divided by 60 minutes is 6. Therefore, the minute hand moves 6 degrees per minute. It takes 720 minutes for the hour hand to move around the clock. 360 degrees divided by 720 minutes is 0.5. Therefore, the hour hand moves 0.5 degrees per minute. As you can see, the hour hand and minute hand showing 7 o'clock on the clock make an angle. We used the hands to make the pie chart below so it is easier to visualize what we are calculating.

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

The hour hand and minute hand on a clock showing 7 o'clock actually make two angles: The hour hand to the minute hand is outlined in blue, and the minute hand to the hour hand is outlined in red.
Angle from hour hand to minute hand at 7 o'clock At 7 o'clock, the hour hand has moved 420 out of 720 possible times from the top of the clock. 420 times 0.5 degrees is 210 degrees. At 7 o'clock, the minute hand has moved 0 out of 60 possible times from the top of the clock. 0 times 6 degrees is 0 degrees.

360 - (210 - 0) = 150 degrees

Angle from minute hand to hour hand at 7 o'clock

The angle from the minute hand to the hour hand is simply 360 degrees minus the degrees from the hour hand to minute hand that we calculated above.

360 - 150 = 210 degrees.

Now you know how to calculate the degrees of the two angles created by the hour hand and minute hand on a 12-hour clock at 7 o'clock. Again, the two angles created by the hour hand and minute hand at seven o'clock are 150 degrees and 210 degrees.
Clock Angle Calculator The angle made by the hour hand and minute hand on a clock at 7 o'clock is not all we have calculated. We have calculated the clock angles for every minute of the 12-hour clock. Get the degrees for another time here!

Angle between hour and minute hand at 7:01

Here is the next time on our clock that we have calculated the angles for. Check it out! Copyright  |   Privacy Policy  |   Disclaimer  |   Contact

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

What is the angle formed by the minute hand and the hour hand at 4:45?

Possible Answers:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Correct answer:

Explanation:

The angle measure between any two consecutive numbers on a clock is

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
.

Call the "12" point on the clock the zero-degree point.

At 4:45, the minute hand is at the "9" - that is, at the 

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
mark. The hour hand is three-fourths of the way from the "4" to the "5; that is,

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Therefore, the angle between the hands is

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
, the desired measure.

What is the angle between the hour hand and the minute hand at 4:40?

Possible Answers:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Correct answer:

Explanation:

At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5. That is, the hands are three and one-third number positions apart. Each number position is thirty degrees around the clock, so the hands form an angle of 

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
.

It is 4 o’clock.  What is the measure of the angle formed between the hour hand and the minute hand?

Possible Answers:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Correct answer:

Explanation:

At four o’clock the minute hand is on the 12 and the hour hand is on the 4.  The angle formed is 4/12 of the total number of degrees in a circle, 360.

4/12 * 360 = 120 degrees

The hour hand on a clockface points to the

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
, and the minute hand points to the
At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
.  How many degrees is the angle between the minute and hour hands?

Possible Answers:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Correct answer:

Explanation:

There are

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
degrees in one complete revolution of a circle. There are
At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
minutes in one hour.

Create a fraction out of these two quantities to use later as a conversion rate:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Between the

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
and
At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
there are
At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
minutes, so multiply this by the conversion rate to solve for the number of degrees:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

What is the measure of the smaller angle formed by the hands of an analog watch if the hour hand is on the 10 and the minute hand is on the 2?

Possible Answers:

Explanation:

A analog clock is divided up into 12 sectors, based on the numbers 1–12. One sector represents 30 degrees (360/12 = 30). If the hour hand is directly on the 10, and the minute hand is on the 2, that means there are 4 sectors of 30 degrees between then, thus they are 120 degrees apart (30 * 4 = 120).

Thomas is trying to determine the angle between the hands of his clock. Right now it reads

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
 pm, what angle do the clock hands make?

Possible Answers:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Correct answer:

Explanation:

You can think of a clock in two ways:

1. Out of 12 hours, or

2. In terms of a circle with

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

If you try to solve it in terms of #1:

Goal: Find the angle measurement between the hour and the minute hands. We only want to find the degrees between the hours of 9 and 12

So we are looking at 3 hours out of the 12 total hours on a clock.

As a fraction:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

So that means that the clock hands are making an angle that is 1/4 of the clock (which is a circle). So knowing that a circle has

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
in it,

1/4 of a circle is

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
.

____________________________________________________________

2. If you think of the clock as a circle first you can determine the angle that the clock hands create very quickly.

Since there are

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
in a circle, every hour that passes is a movement of
At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
. So knowing that, the clock will be moving 3 hours:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

What is the measure of the larger angle formed by the hands of a clock at

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
?

Possible Answers:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Correct answer:

Explanation:

Like any circle, a clock contains a total of 

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
. Because the clock face is divided into 
At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
 equal parts, we can find the number of degrees between each number by doing 
At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
. At 5:00 the hour hand will be at 5 and the minute hand will be at 12. Using what we just figured out, we can see that there is an angle of 
At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
 between the two hands. We are looking for the larger angle, however, so we must now do 
At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
. 

What is the measure, in degrees, of the acute angle formed by the hands of a 12-hour clock that reads exactly 3:10?

Possible Answers:

Explanation:

The entire clock measures 360°. As the clock is divided into 12 sections, the distance between each number is equivalent to 30° (360/12). The distance between the 2 and the 3 on the clock is 30°.  One has to account, however, for the 10 minutes that have passed. 10 minutes is 1/6 of an hour so the hour hand has also moved 1/6 of the distance between the 3 and the 4, which adds 5° (1/6 of 30°). The total measure of the angle, therefore, is 35°.

Find the angle in degrees between clock hands at 3:30.

Possible Answers:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Correct answer:

Explanation:

On first glance, this problem may seem simple in that the angle between the 3 and 6 on a clock is one quarter of a circle or 90 degrees. However, you must take into account that in the half hour that has passed from 3:00 to 3:30, the hour hand has moved half the distance between the 3 and 4. To find the degrees, simply divide the total number of degrees in a circle by 12 to find the degrees between each consecutive number, and then multiply that number by 2.5 because you have half the distance to the 4, and the the full distance to the 5 and the full distance to the 6. Thus,

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

A clock shows that the time is 9:00am. What is the angle between the minute and the hour hands? 

Possible Answers:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Correct answer:

Explanation:

By dividing the clock into pieces, we can determine that the angle between the two hands is

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
.

Within a clock, just like any circle, there are 360 total degrees. 

Within an clock, there are 60 total minutes.

Each minute that passes, the minute hand advances 6 degrees. The hour hand advances .5 degrees. But since it is 9am on the dot, we will just be using the minute hand to count the degrees. 

Since the minute hand is covering a total of 15 minutes in between it and the hour hand, we can do the math:

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150
 =

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

William
Certified Tutor

University of Houston, Bachelor in Arts, English.

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Daniel
Certified Tutor

SUNY College at Oswego, Bachelor of Science, Elementary School Teaching. Seattle Pacific University, Certificate, Special Edu...

At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

Cassandra
Certified Tutor

Alcorn State University, Bachelor of Science, Biology, General. Florida Agricultural and Mechanical University, Master of Sci...

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At what time between 2 0 clock and 3 0 clock the hands minute and hour of a clock are at 150

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