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      Question

      The total distance between two places is 720 km. A car

      covers 1/6th of the distance at 40 km/h, 5/18th of the distance at 50 km/h and the remaining distance at 100 km/h. Find the total time taken to cover the whole distance.
      A 18 hrs Correct Answer Incorrect Answer
      B 12 hrs Correct Answer Incorrect Answer
      C 10 hrs Correct Answer Incorrect Answer
      D 11 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, 1/6th distance = 720 × 1/6 = 120 km Time taken to cover 120 km = 120/40 = 3 hours 5/18th distance = 720 × 5/18 = 200 km Time taken to cover 200 km = 200/50 = 4 hours Remaining distance = 720 − 120 − 200 = 400 km Time taken to cover 400 km = 400/100 = 4 hours Total time taken = 3 + 4 + 4 = 11 hours

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