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    Question

    Train β€˜D’ is travelling with a speed of 60 km/hr and

    crosses a vertical pole in 6 seconds. Train β€˜E’ is 36 metres longer than β€˜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?
    A 21 sec Correct Answer Incorrect Answer
    B 18 sec Correct Answer Incorrect Answer
    C 19 sec Correct Answer Incorrect Answer
    D 20 sec Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Speed of train β€˜D’ = 60 Γ— (5/18) = 50/3 m/sec Length of train β€˜D’ = (50/3) Γ— 6 = 100 metres Therefore, speed of train β€˜E’ = (4/5) Γ— (50/3) = 40/3 m/sec Length of train β€˜E’ = 100 + 36 = 136 metres Required time taken = (136 + 144)/(40/3) = 280 Γ· (40/3) = (280 Γ— 3)/40 = 21 seconds

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