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?

Answer: Option B

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 $$\left\{2\frac{1}{2}=2.5\right\}$$   round and Versha completes $$\frac{1}{2}$$ 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.