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1. Vinay and Versha run a race with their speed in the ratio of 5 : 3. They prefer to run on a circular track of circumference 1.5 km. What is the distance covered by Vinay when he passes Versha for the seventh time?
For Vinay to pass Versha seventh time, Vinay would have completed,
= 7 × 2.5 rounds
Since, each round is 1.5 km, the distance covered by Vinay is,
= 7 × 2.5 × 1.5
= 26.25 km.
Solution:
Since, the speeds of Vinay and Versha are in the ratio 5 : 3 i.e. when Vinay covers 5 rounds, then Versa covers 3 rounds, but first time Vinay and Versha meet when Vinay completes round and Versha completes round.For Vinay to pass Versha seventh time, Vinay would have completed,
= 7 × 2.5 rounds
Since, each round is 1.5 km, the distance covered by Vinay is,
= 7 × 2.5 × 1.5
= 26.25 km.