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  • Question

  • Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.


  • Options
  • A. 12 sec
  • B. 24 sec
  • C. 48 sec
  • D. 60 sec

  • Correct Answer
  • 24 sec 

    Explanation
    Relative speed = = (45 + 30) km/hr
    = ❨ 75 x 5 ❩ m/sec
    18
    = ❨ 125 ❩ m/sec.
    6

    We have to find the time taken by the slower train to pass the DRIVER of the faster train and not the complete train.

    So, distance covered = Length of the slower train.

    Therefore, Distance covered = 500 m.

    ∴ Required time = ❨ 500 x 6 ❩ = 24 sec.
    125

    • Problems on Trains

    Search Results

    • 1. A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

    • Options
    • A. 45 m
    • B. 50 m
    • C. 54 m
    • D. 72 m
      • Discuss
    • 2. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

    • Options
    • A. 65 sec
    • B. 89 sec
    • C. 100 sec
    • D. 150 sec
      • Discuss
    • 3. A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

    • Options
    • A. 40 sec
    • B. 42 sec
    • C. 45 sec
    • D. 48 sec
      • Discuss
    • 4. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

    • Options
    • A. 1 : 3
    • B. 3 : 2
    • C. 3 : 4
    • D. None of these
      • Discuss
    • 5. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

    • Options
    • A. 120 m
    • B. 240 m
    • C. 300 m
    • D. None of these
      • Discuss
    • 6. Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:

    • Options
    • A. 30 km/hr
    • B. 45 km/hr
    • C. 60 km/hr
    • D. 75 km/hr
      • Discuss
    • 7. A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

    • Options
    • A. 48 km/hr
    • B. 54 km/hr
    • C. 66 km/hr
    • D. 82 km/hr
      • Discuss
    • 8. A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

    • Options
    • A. 66 km/hr
    • B. 72 km/hr
    • C. 78 km/hr
    • D. 81 km/hr
      • Discuss
    • 9. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?

    • Options
    • A. 4√3 units
    • B. 8 units
    • C. 12 units
    • D. Data inadequate
    • E. None of these
      • Discuss
    • 10. The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

    • Options
    • A. 2.3 m
    • B. 4.6 m
    • C. 7.8 m
    • D. 9.2 m
      • Discuss

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