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      Question

      A truck travels a distance of 240 km in 8 hours. The

      speed of a van is 25% more than that of the truck, and the speed of a scooter is 20% more than that of the van. Find the difference between the time (in minutes) taken by the scooter and the van, to travel 50% more distance than traveled by the truck.
      A 120 Correct Answer Incorrect Answer
      B 90 Correct Answer Incorrect Answer
      C 96 Correct Answer Incorrect Answer
      D 50 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Speed of truck = 240 km/8 hrs = 30 km/h Speed of van = 30 km/h ร— (125/100) = 37.5 km/h Speed of scooter = 37.5 km/h ร— (120/100) = 45 km/h Now, total distance to be traveled by van or scooter = 240km ร— (150/100) = 360km Required difference in time = ((360km)/(37.5 km/h))- ((360 km)/(45km/h)) = 9.6hrs - 8hrs = 96 min

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