To find Time when Distance and Speed are given

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.