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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 87 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  2. 2.Two trains, 190 m and 110 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  3. 3.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  4. 4.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  7. 7.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  9. 9.Two trains, 180 m and 260 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  10. 10.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 60 m and 480 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.Two trains, 80 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  15. 15.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  16. 16.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  17. 17.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  18. 18.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 90 m and 270 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  20. 20.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  21. 21.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  22. 22.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  23. 23.Two trains, 110 m and 65 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  24. 24.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 32 km upstream and come back?
  25. 25.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  27. 27.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  29. 29.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  30. 30.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  31. 31.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  32. 32.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  33. 33.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  34. 34.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  35. 35.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  40. 40.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?

Answer key

  1. 290
  2. 10
  3. 28
  4. 6
  5. 6
  6. 450
  7. 18
  8. 725
  9. 11
  10. 14
  11. 12
  12. 12
  13. 5
  14. 17
  15. 9
  16. 25
  17. 600
  18. 18
  19. 12
  20. 75
  21. 700
  22. 405
  23. 5
  24. 5
  25. 11
  26. 27
  27. 9
  28. 48
  29. 140
  30. 28
  31. 435
  32. 375
  33. 560
  34. 24
  35. 28
  36. 8
  37. 15
  38. 2
  39. 14
  40. 21

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