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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 50% the same distance in 2 hours 30 minutes and a truck covers 50% of the distance in 10 hours. The sum of speed of the car and truck is 100 km/hr.
      A 400 km Correct Answer Incorrect Answer
      B 484 km Correct Answer Incorrect Answer
      C 434 km Correct Answer Incorrect Answer
      D 464 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 = 100/50 x 2.5 = 5 hrs Time taken by truck to cover total distance = 100/50 x 10 = 20 hrs so, s x 5 = (100 - s) x 20 5s = 2000 - 20s s = 80 so, required distance = 20 x 20 = 400 km

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