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    Question

    In a 1.6 km race, 'A' gives 'B' a head start of 300

    meters, but still 'A' wins the race by 100 meters. If 'B' takes 15 minutes to complete the race, calculate the time taken by 'A' to finish the race.
    A 12.75 minutes Correct Answer Incorrect Answer
    B 20 minutes Correct Answer Incorrect Answer
    C 10.50 minutes Correct Answer Incorrect Answer
    D 11.25 minutes Correct Answer Incorrect Answer

    Solution

    Distance covered by 'B' when 'A' covers 1600 metres = 1600 - 300 - 100 = 1200 metres Ratio of speed of 'A' and 'B' respectively = 1600:1200 = 4:3 So, ratio of time taken by 'A' and 'B' to complete the race respectively = 3:4 Therefore, required time = (15/4) X 3 = 11.25 minutes

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