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Question

Two buses running in opposite directions cross a lady standing on the platform in 54 seconds and 34 seconds respectively. If they cross each other in 46 seconds, what is the ratio of their speeds?


A

3:1

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B

4:3

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C

3:2

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D

5:3

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E

1:4

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Solution

The correct option is C

3:2


Let the speed of the buses be x and y respectively.

Length of 1st bus = 54x

Length of 2nd bus = 34y

Relative speed = x + y

Time taken to cross each other = 46 sec

=> 54x+34yx+y=46

=> (54x + 34 y) = 46 (x + y)

=> 4x = 6y

=> xy=64=3:2


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