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      Question

      From a total of 280 km, Sumit covered some distance by

      train at 70 km/h and the rest by bus at 35 km/h. If the entire trip took 5.8 hours, how much distance did he travel by train?
      A 141 km Correct Answer Incorrect Answer
      B 154 km Correct Answer Incorrect Answer
      C 125 km Correct Answer Incorrect Answer
      D 180 km Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the distance by train be d km.

      Then, distance by bus = 280 - d km

      Time equation: d / 70 + (280 - d) / 35 = 5.8

      LCM of 70 and 35 = 70

      So, d/70 + 2(280 - d)/70 = 5.8

      Or, (d + 560 - 2d) / 70 = 5.8

      Or, (560 - d)/70 = 5.8

      Multiply both sides:

      560 - d = 406

      d = 154

      Distance by train = 154 km

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