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      Question

      A motor-cycle covers 160 km with a speed of 70 km/hr.

      find the speed of the motor-cycle for the next 170 km journey so that the average speed of the whole journey will be 90 km/hr.
      A 150 km/hr Correct Answer Incorrect Answer
      B 126 km/hr Correct Answer Incorrect Answer
      C 120 km/hr Correct Answer Incorrect Answer
      D 140 km/hr Correct Answer Incorrect Answer

      Solution

      Average speed of whole journey = 90 km/hr Using the formula, average speed = 2xy/(x + y)  x = speed of first 160 km = 70 km/hr 90 = 2 x (70 x  y)/(70 + y) = 126 km/hr

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