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    Question

    A 160 m long train overtakes another 140 m long train in

    12 sec. If the speed of the slower train is 54 kmph, what is the speed of the faster train?
    A 144 kmph Correct Answer Incorrect Answer
    B 132 kmph Correct Answer Incorrect Answer
    C 166 kmph Correct Answer Incorrect Answer
    D 154 kmph Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the speed of the faster train = x kmph ∴ Relative speed of the trains = (x - 54) kmph ⇒ (x - 54)× (5/18) m/sec. Distance = 160 + 140 = 300 m and time = 12 sec ∴ (x - 54)(5/18) = 300/12 ⇒ x- 54 = (300× 18)/(5× 12) = 90 ∴ x = 90 + 54 = 144 kmph.

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