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      Question

      A is cycling at an average speed of 11 km/hr such that

      he can reach a certain point at 12 noon. If he cycles at 22 km/hr, then he will reach the destination at 10 a.m. At what speed he should cycle to reach the destination at 11 a.m.
      A 10.66 km/hr Correct Answer Incorrect Answer
      B 12.66 km/hr Correct Answer Incorrect Answer
      C 14.66 km/hr Correct Answer Incorrect Answer
      D 13.33 km/hr Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the distance to be travelled be ‘x’ km Time taken when speed is 11 km/hr = (x/11) hours Time taken when speed is 22 km/hr = (x/22) hours According to the question, (x/11) – (x/22) = 2 Or, 2x – x = 2 × 22 Or, x = 44 km Time taken to travel 44 km with speed of 11 km/hr = 44/11 = 4 hours Therefore, he started at 12 – 4 = 8 a.m. Therefore, required speed to reach the destination at 11 a.m. or 4 hours = 44/3 = 14.66 km/hr

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