Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

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INSURANCE EXAMS (NICL) 2013 click here to view all questions

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A1 : 3

B3 : 2

C3 : 4

DNone of these

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Correct answer is: 3 : 2 Explanation: $\begin{array}{rl}& \text{Let}\text{the}\text{speeds}\text{of}\text{the}\text{two}\text{trains}\text{be}x\text{m/sec}\\ & \text{and}y\text{m/sec}\text{respectively}.\\ & \text{Then,}\text{length}\text{of}\text{the}\text{first}\text{train}=27x\text{metres},\\ & \text{and}\text{length}\text{of}\text{the}\text{second}\text{train}=17y\text{metres}.\\ & \therefore \frac{27x+17y}{x+y}=23\\ & \Rightarrow 27x+17y=23x+23y\\ & \Rightarrow 4x=6y\\ & \Rightarrow \frac{x}{y}=\frac{3}{2}\end{array}$ Nithin ? answered undefined All Comments

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