Question
Ratio of length of train 'A' to that of train 'B' is
2:3, respectively. The two trains are running in the same direction. Speed of train 'A' and train 'B' is 108 km/h and 126 km/h, respectively. If train 'B' overtakes train 'A' in 120 seconds, then find the length of train 'A'.Solution
Let the length of train 'A' and train 'B' be '2x' metres and '3x' metres. Speed of the train 'A' = 108 × (5/18) = 30 m/s Speed of train 'B' = 126 × (5/18) = 35 m/s Relative speeds of the two trains = 35 - 30 = 5 m/s ATQ;
{(3x + 2x) / 5} = 120 Or, 5x = 120 × 5 Or, x = 120 Therefore, the length of train 'A' = 2x = 2 × 120 = 240 metres
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