Question
Train ‘D’ is travelling with a speed of 60 km/hr and
crosses a vertical pole in 6 seconds. Train ‘E’ is 36 metres longer than ‘D’ and travelling with a speed 1/5th less than that of train 'D'. In how much time train E can cross a 144 metres long platform?Solution
Speed of train ‘D’ = 60 × (5/18) = 50/3 m/sec Length of train ‘D’ = (50/3) × 6 = 100 metres Therefore, speed of train ‘E’ = (4/5) × (50/3) = 40/3 m/sec Length of train ‘E’ = 100 + 36 = 136 metres Required time taken = (136 + 144)/(40/3) = 280 ÷ (40/3) = (280 × 3)/40 = 21 seconds
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