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Question

# Train A leaves from P to Q. Half an hour later train B leaves for P from Q. Two hours after A had started, the trains meet. A has covered 50 % more distance than train B when they meet. What is the ratio of the speeds of train A to train B?

A
9:8
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B
8:9
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C
5:7
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D
8:3
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Solution

## The correct option is A 9:8Let speed of A is x and speed of B is y. ∴ Distance covered by A in 2 hrs=2xGiven:Half an hour later train B leaves for P from QDistance covered by B in 1.5 hrs=1.5y. Also 2x=1.5(1.5y)⇒xy=2.252⇒xy=2.25×42×4=98Hence x:y=9:8.The ratio of the speeds of train A to train B is 9:8.

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