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  • Question

  • The ratio of the speed of Two trains is 5:8. Sum of their length is 660. The ratio of time taken to cross an Electric Pole by train A and B is 4:3. What is the difference between the length of two trains?


  • Options
  • A. 50m
  • B. 40m
  • C. 60m
  • D. 45m

  • Correct Answer
  • 60m 

    Explanation

    Ans.
    Given that length of first train + length of second train = 660
    Speed of first train : Speed of second train = 5:8 =5x : 8x
    Time taken to cross the poll by two trains = 4:3 =4y:3y
    Now ,
    (5x*4y) + (8x*3y) = 660
    44xy = 660
    xy = 15
    L1 - L2 = 24xy -20xy = 4xy = 60 m

    • Tags: AIEEE, Bank Exams, GATE

    Problems on Trains

    Search Results

    • 1. Train A can cross a man in 8 sec and a 180 m long platform ?P? in 17 sec. If train A cross train B which is running in opposite direction at speed of 108 km/hr in 8 sec, then find time taken by train B to cross platform P?

    • Options
    • A. 16 sec
    • B. 11 sec
    • C. 14 sec
    • D. 12 sec
      • Discuss
    • 2. A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?

    • Options
    • A. 10 sec
    • B. 48 sec
    • C. 36 sec
    • D. 56 sec
      • Discuss
    • 3. How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ?

    • Options
    • A. 29 sec
    • B. 58 sec
    • C. 36 sec
    • D. 44 sec
      • Discuss
    • 4. 5 hrs after a goods train passed a station, another train travelling at a speed of 70 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 9 hours. What is the speed of the goods train?

    • Options
    • A. 45 km/hr
    • B. 54 km/hr
    • C. 67.5 km/hr
    • D. 36 km/hr
      • Discuss
    • 5. A train takes 10 sec to cross a bridge of length 100 m travelling at 90 kmph. Find the length of the train in meters.

    • Options
    • A. 130
    • B. 120
    • C. 140
    • D. 150
      • Discuss
    • 6. A train is moving at the speed of 72 km/hr. How many seconds will it take to cover a distance of 1400 m ?

    • Options
    • A. 70
    • B. 80
    • C. 72
    • D. 84
      • Discuss
    • 7. Train A takes 1 hour more than train B to travel a distance of 720 km. Due to engine trouble speed of train B falls by a third, so it takes 3 hours more than Train A to complete the same journey? What is the speed of Train A (in km/hr)?

    • Options
    • A. 80
    • B. 90
    • C. 60
    • D. 70
      • Discuss
    • 8. A uniformly moving train of length 480 m takes 3 minutes to completely cross a platform. If the same train, with the same speed crosses a pole completely in 30 sec, then the length of the platform is -

    • Options
    • A. 1 km
    • B. 600 m
    • C. 4.8 km
    • D. 1.2 km
      • Discuss
    • 9. A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, the length of the train is

    • Options
    • A. 90 m
    • B. 100 m
    • C. 120 m
    • D. 140 m
      • Discuss
    • 10. A passenger train running at the speed of 80 kms/hr leaves the railway station 6 hours after a goods train leaves and overtakes it in 4 hours. What is the speed of the goods train?

    • Options
    • A. 32 kms/hr
    • B. 50 kms/hr
    • C. 45 kms/hr
    • D. 64 kms/hr
      • Discuss

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