Q: A man on a motorbike travels 192 kilometres from Delhi to Bharatpur at an average speed of 32 kilometres per hour. Another man drives from Delhi 2.5 hours after the biker and arrives in Bharatpur half an hour late. What is the ratio of people riding motorcycles to those driving cars?

A 2:3
B 5:4
C 10:8
D 2:7
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Answer: A


The time taken by the man on the motorcycle to reach Bharatpur is given as 192/32 = 6 hours.

The man in the car starts from Delhi 2.5 hours after the man on the motorcycle starts. Therefore, the time taken by the man in the car to reach Bharatpur is 6 hours - 2.5 hours = 3.5 hours.

The man in the car reaches Bharatpur half an hour late, so the total time taken by him is 3.5 hours + 0.5 hours = 4 hours.

The ratio of the time taken by the man on the motorcycle to the time taken by the man in the car is 4 hours:6 hours, which simplifies to 2:3.

Therefore, the ratio of the time taken by the man on the motorcycle to the time taken by the man in the car is 2:3.

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