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Q.

Two trains of lengths $180 m$ are moving on parallel tracks. If they move in the same direction then they cross each other in $15 s,$ and if they move in opposite directions then they cross in $7 \frac{1}{2} s,$ then find sum of their speeds $(i n m / s) .$

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answer is 48.

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Detailed Solution

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${(v_{rel})}_{same} = v_{1} - v_{2} = \frac{360}{15} ....... (1) {(v_{rel})}_{opp .} = v_{1} + v_{2} = \frac{360}{7.5} ....... (2) 2 v_{1} = 360 (\frac{1}{15} + \frac{10}{7.5}), 2 v_{1} = 72, v_{1} = 36 m / \sec, v_{2} = - \frac{360}{15} + 36 = 12 m / \sec .$

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