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Home Aptitude Problems on Trains See What Others Are Saying!
  • Question
  • A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is


  • Options
  • A. 400 m
  • B. 450 m
  • C. 560 m
  • D. 600 m

  • Correct Answer
  • 400 m 

    Explanation
    Let the length of the first train be x meters.

    Then, the length of the second train is x meters.
    2

    Relative speed = (48 + 42) kmph = 90 x 5 m/sec = 25 m/sec.
    18

    [x + (x/2)] = 12 or 3x = 300     or     x = 200.
    25 2

    ∴ Length of first train = 200 m.

    Let the length of platform be y meters.

    Speed of the first train = 48 x 5 m/sec = 40 m/sec.
    18 3

    ∴ (200 + y) x 3 = 45
    40

    ⟹ 600 + 3y = 1800

    y = 400 m.


  • More questions

    • 1. 
      ? 132 + 28 / 4 - (3)3 + 107 = (?) 2

    • Options
    • A. 2
    • B. 16
    • C. 256
    • D. 4
    • Discuss
    • 2. 
      A is thrice as good a workman as B and therefore is able to finish a job in 30 days less then B. How many days will they takes to finish the job working together?

    • Options
    • A. 101/4
    • B. 113/4
    • C. 111/4
    • D. 111/3
    • Discuss
    • 3. Solve the following:
      ? / .0025 = 800

    • Options
    • A. .2
    • B. .02
    • C. 2000
    • D. 2
    • Discuss
    • 4. 
      75% of 480 = (?) x 15?

    • Options
    • A. 32
    • B. 18
    • C. 360
    • D. None of these
    • Discuss
    • 5. 
      Ravi can row downstream at 9 km/h and upsteam at 5 km/h. Find the speed of Ravi in still water and speed of current.

    • Options
    • A. 7 km/h and 2 km/h
    • B. 8 km/h and 6 km/h
    • C. 7 km/h and 3 km/h
    • D. 8 km/h and 2 km/h
    • Discuss
    • 6. 56, 72, 90, 110, 132, 150

    • Options
    • A. 72
    • B. 110
    • C. 132
    • D. 150
    • Discuss
    • 7. 
      The true discount on Rs. 2,562 due 4 months hence is Rs. 122. The rate percent is?

    • Options
    • A. 12
    • B. 13
    • C. 15
    • D. 14
    • Discuss
    • 8. 
      Two pipes X and Y can fill a cistern in 6 and 7 min, respectively. Starting with pipe X, both the pipes are opened alternately, each for 1 min. In what time will they fill the cistern?

    • Options
    • A. 62/7 min
    • B. 63/7 min
    • C. 65/7 min
    • D. 61/7 min
    • Discuss
    • 9. 
      Inlet A is four times faster than inlet B to fill a tank. If A alone can fill it in 15 min, how long will it take if both the pipes are opened together?

    • Options
    • A. 10 min
    • B. 12 min
    • C. 15 min
    • D. 14 min
    • Discuss
    • 10. 
      In ? ABC, the median BE intersects AC at E, if BG = 6 cm, where G is the centro-id, then BE is equal to :

    • Options
    • A. 7 cm
    • B. 9 cm
    • C. 8 cm
    • D. 10 cm
    • Discuss


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