Question
Train 'A' takes 19 seconds to cross a pole and 18.75
seconds to cross train 'B', which is 440 metre long and moving at the speed of 24 m/s towards train 'A'. Find the length of train 'A'.Solution
Let the length of train 'A' = 'd' metresLet the speed of train 'A' = 'x' m/sAccording to the question,(d/x) = 19Or, d = 19xAlso, (d + 440) ÷ (x + 24) = 18.75Or, d + 440 = 18.75x + 450Or, d = 18.75x - 10So, 19x = 18.75x - 10So, x = 10 ÷ 0.25 = 40Therefore, length of train 'A' = 40 X 19 = 760 metres
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