Question
Download Solution PDFTwo trains running in opposite directions cross a man standing on the platform in 30 sec and 15 sec respectively and they cross each other in 25 sec. The ratio of their speeds is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Time taken by first train to cross a man = 30 sec
Time taken by second train to cross the same man = 15 sec
Time taken by both trains to cross each other = 25 sec
Formula used:
Total time = Total Distance/Total speed
Calculation:
Let the speed of the first train and the second train be "a" and "b"
Length of the first train = 30a
Length of the second train = 15b
⇒ 25 = \(\frac {30a + 15b}{a + b}\)
⇒ 25a + 25b = 30a + 15b
⇒ 10b = 5a
⇒ a/b = 10/5 = 2/1
⇒ a : b = 2 : 1
∴ The ratio of their speeds is 2 : 1
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