Question
In a 800 metres race, Tanya beats Ravi by 160 metres and
Sumit by 240 metres. By how many metres does Ravi beat Sumit in the same race?Solution
ATQ,
When Tanya runs 800 metres, Ravi runs (800 – 160 = 640 metres)
When Tanya runs 800 metres, Sumit runs (800 – 240 = 560 metres)
So, the ratio of the distance covered by Tanya, Ravi, and Sumit when Tanya runs 800 metres respectively:
= 800:640:560 = 20:16:14
Distance covered by Sumit when Ravi completes 800 m = (800/16) × 14 = 700 metres
Therefore, Ravi beats Sumit by (800 – 700 = 100 metres)
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