Multiple Choice Questions on A train crosses a platform at 54 km hr in 20 seconds Another train is 150 m shorter than the former ........... for Mathematics - All Exams Preparation

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    A train crosses a platform at 54 km/hr in 20 seconds. Another train is 150 m shorter than the former and is running at 36 km/hr. Find the time the second train will take to cross the same platform.

    5 sec

    Incorrect Answer

    10 sec

    Incorrect Answer

    15 sec

    Correct Answer

    20 sec

    Incorrect Answer
    Explanation:

    Speed of the first train is 54 × 5/18 = 15 m/s.
    (Length of the platform + length of the train) is =20 × 15
    = 300 m. If the second train is 150 m shorter,

    then the length of the platform + length of the second train is 300 – 150 = 150 m.
    That train is running at 36 km/hr = 36 × 5/18 = 10 m/s.
    So it will take 150 / 10 = 15 seconds to cross the platform.

    Hence, option 3 is the correct answer.


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