Question
Train ‘A’ running with a speed of 81 km/hr can cross
a standing goods train of 4 times its length in 24 seconds. Find the time taken by 200 metres long train ‘B’ which is coming from opposite direction of train ‘A’, with a speed of 20 m/s, to cross train ‘A’.Solution
Let the length of train ‘A’ be ‘x’ metres Therefore, length of the goods train = ‘4x’ metres Speed of train ‘A’ = 81 × (5/18) = 22.5 m/s According to the question, 4x + x = 22.5 × 24 => 5x = 540 => x = 108 Therefore, time taken by train ‘B’ to cross train ‘A’ = {(108 + 200)/(24 + 20)} = 7 seconds
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