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    Question

    The time taken by train A , whose length is 'd' meters

    to cross a bridge of 300 meters is equal to the time taken by train B of length 'd + 200' meters to cross a platform of 500 meters is equal. The ratio of speed of train A and B is 5:9 respectively. Find the value of d. (in meters). 
    A 195 Correct Answer Incorrect Answer
    B 180 Correct Answer Incorrect Answer
    C 200 Correct Answer Incorrect Answer
    D 285 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Length of train A = d, length of train B = d+200. Train A crosses a 300 m bridge, and Train B crosses a 500 m platform in equal time. Speed ratio: Train A to Train B = 5:9. Set up time equations:

    Cross-multiply = 9(d+300)=5(d+700) Simplify: 4d = 800, So, d = 200.

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