Two trains running in opposite directions cross a man standing on the platform in 54 seconds and 32 ...........

Quantitative Aptitude ( CCS) Time & distance

Two trains running in opposite directions cross a man standing on the platform in 54 seconds and 32 seconds respectively and they cross each other in 44 seconds. Find the ratio of their speeds .

4:7

6:5

9:7

5:3

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Explanation:

Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 54x metres, and length of the second train = 32y metres.
Therefore, (54x+32y)/(x+y) = 44
=>54x – 44x = 44y – 32y
=> x/y = 6/5