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    Question

    In a 300-metre race, ‘Aman’ beats ‘Bhanu’ and

    ‘Charu’ by 30 metres and 60 metres, respectively. If ‘Bhanu’ and ‘Charu’ ran a 180 metre race, then ‘Bhanu’ will beat ‘Charu’ by:
    A 20 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 28 Correct Answer Incorrect Answer
    D 32 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Distance covered by ‘Bhanu’ in the time taken by ‘Aman’ to cover 300 metres = 300 – 30 = 270 meters

    Distance covered by ‘Charu’ in the time taken by ‘Aman’ to cover 300 metres = 300 – 60 = 240 meters

    Since, the time taken is same in this case, the ratio of speeds of ‘Bhanu’ and

    ‘Charu’ will be same as the ratio of distances.

    Ratio of speeds of ‘Bhanu’ and ‘Charu’ = 270 : 240 = 9 : 8

    So, in a 180-metre race, ‘Bhanu’ will beat ‘Charu’ by

    180 – (180 × 8/9) = 180 – 160 = 20 metres

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