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    Question

    In a 2 km race, 'X' allows 'Y' a lead of 400 metres, but

    still beats him by 200 metres. If 'Y' finishes the race in 20 minutes, how much time does 'X' take to finish?
    A 12 mins Correct Answer Incorrect Answer
    B 18 mins Correct Answer Incorrect Answer
    C 14 mins Correct Answer Incorrect Answer
    D 25 mins Correct Answer Incorrect Answer

    Solution

    ATQ,

    Distance covered by 'Y' when 'X' covers 2000 m = 2000 - 400 - 200 = 1400 m

    Ratio of speeds (X : Y) = 2000 : 1400 = 10 : 7

    Time ratio = 7 : 10

    Time taken by X = (20/10) ├Ч 7 = 14 minutes

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