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    Question

    Two trains, 'P' and 'Q', are

    moving with speeds of 16 m/s and 24 m/s, respectively. The lengths of the trains are in the ratio 3:5. If it takes 8 seconds for the trains to completely pass each other while traveling in opposite directions, calculate the length of train 'P'.
    A 100 m Correct Answer Incorrect Answer
    B 115 m Correct Answer Incorrect Answer
    C 120 m Correct Answer Incorrect Answer
    D 95 m Correct Answer Incorrect Answer

    Solution

    ATQ, Let the length of trains 'P' and 'Q' be '3p' metres and '5p' metres, respectively. ATQ; (3p+5p)/(16+24) = 8 or, 8p = 8×40 So, p = 40 So, length of train 'P' = 3p = 3 × 40 = 120 metres

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