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      Question

      The ratio of the speed of a bus to a bike is 9:7 and the

      bike travels 28 km less than the bus in the same time. If the time taken by the bus to travel that distance is 7 hours, then find the speed of the bike.
      A 14 km/hr Correct Answer Incorrect Answer
      B 20 km/hr Correct Answer Incorrect Answer
      C 18 km/hr Correct Answer Incorrect Answer
      D 16 km/hr Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Distance = speed * time Time = distance/speed Let the distance travelled by the bus = d km So, d / (9x) = (d βˆ’ 28) / (7x) 7d = 9d βˆ’ 252 2d = 252 d = 126 km Now, 126 / (9x) = 7 126 = 63x x = 2 The speed of the bike = 7 * 2 = 14 km/hr

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