Tarun gives Hari a head-start of 60 seconds in a 2400 m race and still beats him by 40 seconds. If the speed of Hari is 6
m/s, find the speed of Tarun.

Correct option is C

Given:

Tarun gives Hari a head-start of 60 seconds in a 2400 m race.

Tarun beats Hari by 40 seconds.

Speed of Hari = 6 m/s.

Formula Used:

Time =$$\frac{\text{ Distance }}{\text{ Speed}}$$​​

Solution:

Time taken by Hari $$= \frac{2400 \text{ m}}{6 \text{ m/s}} = 400 \text{ seconds}$$​

Since Tarun beats Hari by 40 seconds, Tarun takes:

Time taken by Tarun = 400 seconds − 40 seconds = 360 seconds

Tarun starts 60 seconds after Hari, so the time Tarun takes to run the 2400 m is:

Time taken by Tarun after head-start = 360 seconds − 60 seconds = 300 seconds

Speed of Tarun =$$\frac{2400 \text{ m}}{300 \text{ seconds}} = 8 \text{ m/s}$$​

Thus, the speed of Tarun is 8 m/s.