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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 412 · 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.Two trains, 120 m and 125 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?
  2. 2.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  3. 3.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  4. 4.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 75 km upstream and come back?
  6. 6.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  7. 7.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  9. 9.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  13. 13.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  16. 16.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 117 km upstream and come back?
  17. 17.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  18. 18.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  19. 19.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  21. 21.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  24. 24.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  26. 26.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  27. 27.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 170 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  30. 30.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  33. 33.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  34. 34.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  35. 35.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  36. 36.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 36 km upstream and come back?
  38. 38.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  39. 39.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 7
  2. 600
  3. 21
  4. 18
  5. 78
  6. 20
  7. 8
  8. 26
  9. 7
  10. 6
  11. 8
  12. 200
  13. 13
  14. 16
  15. 20
  16. 126
  17. 32
  18. 34
  19. 560
  20. 20
  21. 27
  22. 210
  23. 290
  24. 400
  25. 10
  26. 26
  27. 26
  28. 6
  29. 42
  30. 4
  31. 10
  32. 20
  33. 20
  34. 5
  35. 8
  36. 435
  37. 11
  38. 100
  39. 3
  40. 29

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