Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has travelled 100 km more than the second. The distance between P and Q is

Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has travelled 100 km more than the second. The distance between P and Q is:

  • A. 500 km
  • B. 630 km
  • C. 900 km
  • D. 660 km Ans: C.
    Sol.

    At the time of meeting, let the distane travelled byb the second train be x km. Then,
    distance covered by the first train is (x + 100) km
    x/40 = (x+100)/50 50x = 40x 4000 x = 400.
    So, distance between P and Q = (x+x+100) km = 900 km.

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