Two trains A and B start from two places P and Q towards Q and P respectively. After passing each other they take 4 hours 48 minutes and 3 hours and 20 minutes to reach Q and P respectively. If the train from P is moving at 45 km/h then find the speed of another train.

69 km/h

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74 km/h

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54 km/h

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64 km/h

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72 km/h

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Solution

The correct option is C 54 km/h
Speed of 2nd train = Speed of first train $\times (\frac{\sqrt{T i m e t a k e n b y 1 s t t r a i n a f t e r m e e t i n g}}{\sqrt{T i m e t a k e n b y 2 n d t r a i n a f t e r m e e t i n g}})$

$= 45 \times (\frac{\sqrt{288}}{\sqrt{200}}) k m / h$
$= 54 k m / h$

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