In a 500 metres race, B starts 45 metres ahead of A

Time Distance Ratio Proportion

In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?

  1. 25:20
  2. 25:21
  3. 5:7
  4. 5:3

Answer

When A completes and wins the race, at that time B covers 500 - (45 + 35) = 420 metres.

Hence, the ratio between A and B is 500 : 420 = 25 : 21 and this is ratio of speeds of A to B.

The correct option is B.