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      Question

      Determine the time difference for two buses, one with a

      length of 200 meters and the other with a length of 150 meters, as they travel at speeds of 54 kmph and 72 kmph, respectively, to pass each other in the same direction and opposite direction. 
      A 25 sec Correct Answer Incorrect Answer
      B 60 sec Correct Answer Incorrect Answer
      C 45 sec Correct Answer Incorrect Answer
      D 55 sec Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total length to be travelled by the bus in order to cross each other = 200 + 150 = 350 m While travelling in same direction, Relative speed of the bus = 72 – 54 = 18 km/hr = 18 × (5/18) = 5 m/sec Required time taken = (350/5) = 70 sec While travelling in opposite direction, Relative speed of two buses = 72 + 54 = 126 km/hr = 126 × (5/18) = 35 m/sec Required time taken = (350/35) = 10 sec Required difference = 70 – 10 = 60 sec

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