Question
Train ‘A’ running with a speed of 126 km/hr can
cross a standing goods train of 6 times its length in 30 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 = ‘6x’ metres Speed of train ‘A’ = 126 × (5/18) = 35 m/s According to the question, 6x + x = 35 × 30 => 7x = 1050 => x = 150 Therefore, time taken by train ‘B’ to cross train ‘A’ = {(150 + 200)/(30 + 20)} = 7 seconds
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