Question
Train ‘X’ takes 54 seconds to pass a tree and 48
seconds to completely cross train ‘Y’ when they are moving in opposite directions. If the speed of train ‘X’ is 36 km/h and the speed of train ‘Y’ is 54 km/h, what is the length of train ‘Y’?Solution
ATQ,
Speed of train ‘X’ = 36 km/hr = 36 × (5/18) = 10 m/s
Speed of train ‘Y’ = 54 km/hr = 54 × (5/18) = 15 m/s
Length of train ‘X’ = 10 × 54 = 540 metres
Let the length of train ‘Y’ be ‘m’ metres.
According to the question;
(540 + m)/(10 + 15) = 48
Or, 540 + m = 1200
Or, m = 660 metres
So, the length of train ‘Y’ = 660 metres
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