Find the Distance Between A and B

Two trains start from stations A  and B and travel towards each other at speeds of 50 kmph and 60 kmph respectively. At the time of their meeting. the second train  has travelled  120 km more than the first. The distance between A and B is

  1. 1200 km
  2. 1440 km
  3. 1320 km
  4. 990 km
Manish Listener Asked on 17th July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (3) 1320 km
    Explanation:-
    Let be the first train covered distance = X km (when it meet second train)
    Then,  the distance covered by second train = (X + 120) km
    Time taken by first train to cover X km = X/50 hr.
    And time taken by second train to cover (X + 120) km = (X + 120)/60 hr.
    According to the question,
    X/50 = (X + 120)/60
    60X = 50 x (X + 120)
    60X = 50X + 50 x 120
    60X – 50X = 6000
    10X = 6000
    X = 6000/10
    X = 600 km
    Thus, total distance between station A and B  = X + X + 120
    = 600 + 600 + 120
    = 1320 km
    Hence, the answer is (3) 1320 km.

    Anurag Mishra Professor Answered on 18th July 2015.
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