Question
Train ‘A’ running with a speed of 126 km/hr can
cross a standing goods train of 4 times its length in 25 seconds. Find the time taken by 500 metres long train ‘B’ which is coming from opposite direction of train ‘A’, with a speed of 10 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’ = 126 × (5/18) = 35 m/s According to the question, 4x + x = 35 × 25 => 5x = 875 => x = 175 Therefore, time taken by train ‘B’ to cross train ‘A’ = {(175 + 500)/(35 + 10)} = 15 seconds
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