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      Question

      Two trains started from stations ‘A’ and ‘B’ at

      same time and started travelling towards each other at speeds of 55 km/hr and 45 km/hr, respectively. At the time of their meeting, the faster train has travelled 116 km more than the slower train. Find the distance between the stations ‘A and ‘B’.
      A 1160 km Correct Answer Incorrect Answer
      B 1060 km Correct Answer Incorrect Answer
      C 1260 km Correct Answer Incorrect Answer
      D 1100 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the distance travelled by slower train be ‘x’ km So, distance travelled by faster train = ‘x + 116’ km ATQ, (x/45) = {(x + 116)/55} Or, 55x = 45x + 5220 Or, 10x = 5220 So, x = 522 Total distance between station ‘A’ and station ‘B’ = (522 + 522 + 116) = 1160 km

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