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    • Question

      Nikita covered a total distance of 400 km — partly by

      airplane at 200 km/h and partly by bus at 80 km/h. If she took 3.5 hours to reach, how many kilometers did she travel by airplane?
      A 100 km Correct Answer Incorrect Answer
      B 500 km Correct Answer Incorrect Answer
      C 600 km Correct Answer Incorrect Answer
      D 200 km Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let airplane distance = d km

      Then, by bus = 400 - d km

      Time equation: d / 200 + (400 - d) / 80 = 3.5

      LCM of 200 and 80 = 400

      Or, (2d + 5(400 - d)) / 400 = 3.5

      (2d + 2000 - 5d) / 400 = 3.5

      (2000 - 3d) / 400 = 3.5

      Multiply both sides:

      2000 - 3d = 1400

      3d = 600

      d = 200

      Distance by airplane = 200 km

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