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      Question

      Ratio of speeds of ‘A’ and ‘B’ is 4:9,

      respectively. If they participate in a 360-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 210 metres Correct Answer Incorrect Answer
      B 290 metres Correct Answer Incorrect Answer
      C 220 metres Correct Answer Incorrect Answer
      D 200 metres Correct Answer Incorrect Answer

      Solution

      Let the distance covered by ‘A’ in the time ‘B’ covers 360 metres be ‘x’ metres (x/360) = (4/9) Or, x = 160 So, m = 360– 160 = 200 metres

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