Question
Download Solution PDFThe ratio of lengths of trains A and B is 5 : 3 and the ratio of their speeds is 2 : 3. Moving in the opposite direction, it took \(2\frac{1}{2}\) minutes for Train A to cross B. The time (in minutes) taken by A to cross a stationary pole is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of lengths of trains A and B is 5 : 3
The ratio of their speeds is 2 : 3
Time taken to cross each other = \(2\frac{1}{2}\) minutes = 5/2 minutes
Formula used:
Time = Distance/Speed
Calculation:
Let the Lengths od train A and B be 5x and 3x respectively
And Speed of A and B be 2y and 3y respectively
⇒ (5x +3x)/(2y + 3y) = 5/2
⇒ x/y = 25/16
Take x = 25 and y = 16
Now,
Length of Train A = 5x = 5 × 25 = 125
Speed of Train A = 2y = 2 × 16 = 32
∴ The time (in minutes) taken by A to cross a stationary pole = 125/32 Minutes
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