What is the speed of a car if it covers 60 km in 2 hours?

SPEED RULES Índice Show Example Two - Finding Speed Example Three - Finding Time Example Four - Converting KM/H to M/S Example Five - Converting M/S to KM/H

Distance = Speed × Time

Michael Schumacher won the Formula 1 championship a record 7 times. If his race car travels at 209.205 kilometres per hour (209.205 km/h), how far can it race in 2 hours?

Answer:

Example Two - Finding Speed

The scramjet (Supersonic Combustion Ramjet), still in experimental stage, is expected to dramatically cut travel time of jet aircraft in the next decade. It can travel 1200 metres in 4 seconds. What is its speed?

Answer:

Example Three - Finding Time

The world's fastest man, Usain Bolt, sprinted an amazing 10.44 m/s. In how many seconds (to 2 decimal places) did he run 100 metres?

Answer:

The Ariel Atom V8 car accelerates from 0 to 100 km/h in 2.3 seconds.

Example Four - Converting KM/H to M/S

The experimental sailing boat, Vestas Sailrocket 2, has 2 hydrofoils, one of which is used to counterbalance the fixed sail weight. It broke the world sailing record in 2012 with a speed of 114 kilometres per hour (km/h). How fast is this in metres per second (m/s)?

Answer:

Example Five - Converting M/S to KM/H

Change 10 m/s into km/h.

Answer:

OR

Q1. A snail travels at a constant speed of 2 cm/s. How far will it slide and slither in 1 minute?

Q2. A Mako shark, one of the world's fiercest predators, can swim 900 metres in 1 minute. How fast (in m/s) is this?

Q3. A Mako shark can detect a swimmer's heartbeat 3 metres away and it can detect sounds of movement in water hundreds of metres away. A surfer is unaware that a Mako shark is 150 metres away. How long will it take for the shark to reach the surfer?

Q4. Currently, world-class marathoners can run a marathon ( 42.195 km ) in 2 hours and 6 seconds. In the next few years, someone will break the 2 hours' mark. To do this faster time, what average speed must a marathoner run? Write your answer in m/s and km/h.

Answers
A1. 120cm
A2. 15 m/s
A3. 10 seconds
A4. 21.1 km/h, 5.9 m/s

It's 7 kilometres from Bob's house to his grandmother's house. It's uphill on the way there so he can only cycle at 14 km/h, but he can do 21 km/h on the way back. Bob leaves his house at 6pm. How long can Bob stop at his grandmother's house if he wants to be back home for his favourite television program at 7pm?

The unmanned NASA spacecraft called Voyager 1 was launched in 1977 and headed away from Earth to study our solar system. It left our solar system in 2012 and is now about 122 Astronomical Units (18 billion kilometres) from Earth. This means it is the most distant man-made object from Earth.

We will discuss here how to find the time when speed and distance are given.

When distance and speed are given the time taken is calculated by using the formula:

Time = Distance/Speed

Solved examples to calculate time when speed and distance are given:

1. How much time will be taken to cover a distance of 300 km at a speed of 60 km per hour?Solution:

Time taken to cover 60 km = 1 hour.

Time taken to cover 1 km = 1/60 hour.

Time taken to cover 300 km = 1/60 × 300 hour.

                                      = 5 hours.

Therefore, time taken to cover 300 km is 5 hours.

2. A man runs at the speed of 15 km per hour. How much time will he take to cover 750 metres?

Speed = 15 km per hour

Distance = 750 metres = 750/1000 km = ¾ km

Time = distance/speed = (3/4 ÷ 15) km

                               = (3/4 × 1/15) hr

                               = 1/20 hr

                               = 1/20 × 60 min = 3 minutes.

3. How much time will be taken to cover a distance of 450 km at a speed of 50 km per hour?

Solution:

Time taken to cover 50 km = 1 hour.

Time taken to cover 1 km = 1/50 hour.

Time taken to cover 450 km = 1/50 × 450 hour.

                                      = 5 hours.

Therefore, time taken to cover 450 km is 9 hours.

4. A motorised rickshaw covers a distance of 150 km at a speed of 30 km/hour. Find the time taken to cover this distance.

Time = distance/speed

Time = 150 km/(30 km/hour)

        = (150 km/30 km) × hour

        = 5 hours.

5. A cyclist covers a distance of 12 km at a speed of 8 km per hour. Calculate the time taken to cover this distance.

Speed = 8 km/hour

Distance covered = 12 km

Time taken = total distance covered/speed

                 = 15/8 hour

                 = 3/2 hours

                 = 1 ½ hours.

6. How much time will be taken to cover 20 m at a speed of 20 cm per second?

Solution:

Time taken to cover 20 cm = 1 sec.

Time taken to cover 1 cm = 1/20 sec.

1 metre = 100 cm,

20 metre = 20 × 100 cm.

              = 2000 cm.

Time taken to cover 20 m = 1/20 × 2000

                                      = 200 sec.

Therefore, time taken to cover 20 m is 200 sec.

● Speed Distance and Time.

Relation of Speed Distance and Time

Express Speed in Different Units

To find Speed when Distance and Time are given.

To find the Distance when Speed and Time are given.

To find Time when Distance and Speed are given.

Worksheet on Expressing Speed in Different Units

Worksheet on Speed, Distance and Time.

5th Grade Numbers Page

5th Grade Math Problems

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