What will be the Distance Between Two Station?

A train starts from station A and reaches B 15 minutes late when it moves with 40 km/hr and 24 minutes late when it goes 30 km/hr. The distance between the two station is

  1. 21 km
  2. 18 km
  3. 24 km
  4. 16 km
Monis Rasool Professor Asked on 13th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 18 km

    Explanation:-
    Let the distance between two station be X km.
    According to the question,
    X/40 + 15/60 = X/ 30 + 24/60
    X/ 40 – X/ 30 = 2/ 5 –   1/ 4
    (3 X  – 4 X) / 120 = (2 x 4  – 1 x 5)/20
    – X / 6 = 3
    X = 3 x (-6)
    X = – 18
    X = 18 km   (distance is always possible )
    Then, the distance between  two station is 18 km.

    Hence, the answer is (2) 18 km.

    Anurag Mishra Professor Answered on 14th August 2015.
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