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Home Aptitude Time and Distance See What Others Are Saying!
  • Question
  • A train leaves Delhi at 5 a.m. and reaches Kanpur at 10 a.m. another train leaves Kanpur at 7 a.m. and reaches Delhi at 2 p.m. at what time do the two trains meet?


  • Options
  • A. 8:45 a.m.
  • B. 3:45 p.m.
  • C. 6:45 a.m.
  • D. data inadequate

  • Correct Answer
  • 8:45 a.m. 

    Explanation

    Let the distance between Delhi and Kanpur be y km .
    Suppose the train leaving from Delhi is A and the train leaving from Kanpur B

    A's speed = y/ (10 a.m - 5 a.m) = y/5 km/hr.
    B's Speed = y/ (2 p.m - 7 a.m) = y/7 km/hr.

    Since B starts two hours later than A, the distance already covered by A at the start of B = 2y/5 km.

    Remaining distance = y- 2y/5 = 3y/5 km.

    Relative speed of approach of two trains = (y/5 + y/7)
    = 12y/35 km/hr.

    Time taken to cover the remaining distance by both trains = (3y / 5) / (12y / 35)
    = (3/5) x (35/12) = 7/4 hrs.
    = 1 hr. 45 min.

    ? The two train will meet at (7 a.m + 1hr.45 min)
    = 8.45 a.m


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