A 10 km race is organized at 800 m circular race course. P and Q are the contestants of this race. If the ratio of the speeds of P and Q is… — Answer & Discussion

A 10 km race is organized at 800 m circular race course. P and Q are the contestants of this race. If the ratio of the speeds of P and Q is 5 : 4, how many times will the winner overtake the loser?

A4 times
B1 time
C2 times
D3 times

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Discussion 2

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CCommunity17 May 2019

Let the speed of P be 5 m/s and that of Q be 4 m/s. Since they are running in the same direction, we have

Relative speed = 5 – 4 = 1 m/s

Hence, time taken to meet for the first time = 800 / 1 = 800 s

Hence, P and Q meet every 800 seconds.

Total time taken by P in completing the race = 10000/5 = 2000 s

Hence, P and Q can meet only twice: at 800 s and other at 1600 s.

CCommunity04 Apr 2022

Option (3)