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      Question

      Ratio of speeds of ‘A’ and ‘B’ is 3:5,

      respectively. If they participate in a 400-metre race and ‘B’ gives ‘A’, a head start of ‘m’ metres, then they finish the race at the same time. Find the value of ‘m’.
      A 160 metres Correct Answer Incorrect Answer
      B 150 metres Correct Answer Incorrect Answer
      C 140 metres Correct Answer Incorrect Answer
      D 110 metres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the distance covered by ‘A’ in the time ‘B’ covers 400 metres be ‘x’ metres (x/400) = (3/5) Or, x = 240 So, m = 400 – 240 = 160 metres

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