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      Question

      Find the distance travelled (in km) by the truck to

      reach point B from point A, if a car cover 45% the same distance in 2 hours 42 minutes and a truck covers 50% of the distance in 7 hours. The sum of speed of the car and truck is 160 km/hr.
      A 804 km Correct Answer Incorrect Answer
      B 784 km Correct Answer Incorrect Answer
      C 834 km Correct Answer Incorrect Answer
      D 864 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let speed of car be s kmph
      Time taken by car travel total distance = 100/45 x 2.7 = 6 hrs
      Time taken by truck to cover total distance = 100/50 x 7 = 14 hrs
      so, s x 6 = (160 - s) x 14
      6s = 2240 - 14s
      so, riquired distance = 112 x 7 = 784 km

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