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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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