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      Question

      A car covers a total distance of 360 km. It covers the

      first 120 km at 40 km/h, the next 120 km at 60 km/h, and the remaining distance at a constant speed of x km/h. If the average speed for the entire journey is 48 km/h, then x is:
      A 38 km/h Correct Answer Incorrect Answer
      B 20 km/h Correct Answer Incorrect Answer
      C 48 km/h Correct Answer Incorrect Answer
      D 62 km/h Correct Answer Incorrect Answer

      Solution

      Average speed = Total distance / Total time Total time for whole journey = 360/48 = 15/2 hours Time for first 120 km = 120/40 = 3 hours Time for next 120 km = 120/60 = 2 hours Time taken for first 240 km = 3 + 2 = 5 hours Remaining time = 15/2 тИТ 5 = 15/2 тИТ 10/2 = 5/2 hours Remaining distance = 360 тИТ 240 = 120 km So, x = Remaining distance / Remaining time x = 120 / (5/2) = 120 ├Ч 2/5 = 48 km/h

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