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    Question

    In a 2.4 km race, 'M' allows 'N' a head start of 600 metres

    and still defeats him by 300 metres. If 'N' takes 24 minutes to complete the race, how long does 'M' take?
    A 12 mins Correct Answer Incorrect Answer
    B 19 mins Correct Answer Incorrect Answer
    C 15 mins Correct Answer Incorrect Answer
    D 10 mins Correct Answer Incorrect Answer

    Solution

    ATQ,

    Distance covered by 'N' when 'M' runs 2400 m = 2400 - 600 - 300 = 1500 m

    Speed ratio (M : N) = 2400 : 1500 = 8 : 5

    Time ratio = 5 : 8

    Time taken by M = (24/8) × 5 = 15 minutes

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