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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 682 · 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 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 21 km upstream and come back?
  5. 5.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  7. 7.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  8. 8.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  9. 9.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  10. 10.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  11. 11.Two trains, 50 m and 370 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  13. 13.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  15. 15.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  18. 18.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  21. 21.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 36 km upstream and come back?
  22. 22.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  24. 24.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  26. 26.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 90 km upstream and come back?
  27. 27.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 104 km upstream and come back?
  30. 30.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  31. 31.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 108 km upstream and come back?
  32. 32.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  33. 33.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  36. 36.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  40. 40.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 12
  2. 5
  3. 18
  4. 22
  5. 29
  6. 9
  7. 16
  8. 38
  9. 400
  10. 540
  11. 12
  12. 35
  13. 25
  14. 38
  15. 19
  16. 26
  17. 20
  18. 20
  19. 30
  20. 13
  21. 12
  22. 28
  23. 12
  24. 18
  25. 24
  26. 48
  27. 10
  28. 225
  29. 39
  30. 19
  31. 45
  32. 240
  33. 6
  34. 8
  35. 300
  36. 10
  37. 4
  38. 2
  39. 28
  40. 6

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