Time & Work

1:

Two men, A and B, run a 4 km race on a circular course of 1/4 km. If their speeds are in the ratio of 5:4, how often doe's the winner pass the other?

A.

Once

B.

Twice

C.

Thrice

D.

Four times

 

Answer : C

Explanation :

When A runs 5 rounds, B runs 4 rounds (ratio of speeds)
A passes B each time A has run 5 rounds or 5 x 1/4 = 5/4km. = 1 1/4km
1 1/4km is contained in 4 km 3 times. Hence A passes B thrice.

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Option: A

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