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    Question

    The length of train 'R' is 'd' metres and that of train 'S'

    is (d + 200) metres. If the speeds of train 'R' and 'S' are 90 km/h and 30 km/h, respectively, and they take 15 seconds to cross each other while travelling in opposite directions, then find the length of train 'R'.
    A 125 m Correct Answer Incorrect Answer
    B 176 m Correct Answer Incorrect Answer
    C 150 m Correct Answer Incorrect Answer
    D 105 m Correct Answer Incorrect Answer

    Solution

    ATQ,

    Speed of train 'R' = 90 Γ— (5/18) = 25 m/s

    Speed of train 'S' = 30 Γ— (5/18) = 8.33 m/s

    ATQ;

    {(200 + 2d)/(25 + 8.33)} = 15

    Or, 200 + 2d = 500

    Or, 2d = 300

    Or, d = 150

    So, length of train 'R' = 150 metres

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