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      Question

      A man goes to his office at 7.2 km/h and returns at 9 km/h.

      If the total time for the round trip is 80 minutes, find the distance between his home and office.
      A 5.33 km Correct Answer Incorrect Answer
      B 9 km Correct Answer Incorrect Answer
      C 8 km Correct Answer Incorrect Answer
      D 7.44 km Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the distance between his home and office be ‘d’ km.

      ATQ,

      (d/7.2) + (d/9) = (80/60)

      Or, (5d/36) + (4d/36) = (4/3)

      Or, (9d/36) = (4/3)

      So, d = (36 × 4) / (3 × 9) = 144 / 27 = 5.33

      So, the distance between his home and office = d = 5.33 km

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