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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 518 · 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 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.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 90 km upstream and come back?
  4. 4.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  7. 7.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 57 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  10. 10.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  12. 12.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  16. 16.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 80 km upstream and come back?
  19. 19.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.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 42 km upstream and come back?
  22. 22.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  23. 23.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  24. 24.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  25. 25.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  26. 26.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 32 km upstream and come back?
  28. 28.Two trains, 230 m and 250 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  30. 30.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  32. 32.Two trains, 200 m and 205 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?
  33. 33.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 37 km upstream and come back?
  35. 35.Two trains, 180 m and 90 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 19 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 68 km upstream and come back?
  38. 38.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 96 km upstream and come back?
  39. 39.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  40. 40.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 29
  2. 23
  3. 24
  4. 26
  5. 4
  6. 190
  7. 1
  8. 16
  9. 42
  10. 60
  11. 15
  12. 2
  13. 6
  14. 150
  15. 80
  16. 22
  17. 26
  18. 48
  19. 13
  20. 10
  21. 20
  22. 27
  23. 19
  24. 180
  25. 14
  26. 6
  27. 18
  28. 12
  29. 32
  30. 15
  31. 34
  32. 9
  33. 26
  34. 38
  35. 6
  36. 6
  37. 19
  38. 54
  39. 18
  40. 3

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