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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 329 · 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 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 60 m and 90 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?
  3. 3.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?
  4. 4.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?
  5. 5.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  7. 7.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  8. 8.Two trains, 110 m and 50 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?
  9. 9.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.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)?
  11. 11.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?
  12. 12.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 98 km upstream and come back?
  14. 14.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 55 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)?
  16. 16.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 33 km upstream and come back?
  17. 17.Two trains, 170 m and 235 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?
  18. 18.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.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)?
  20. 20.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  21. 21.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 65 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)?
  23. 23.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 87 km upstream and come back?
  24. 24.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  28. 28.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  29. 29.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  32. 32.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  33. 33.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  35. 35.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  36. 36.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  38. 38.Two trains, 180 m and 315 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?
  39. 39.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  40. 40.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?

Answer key

  1. 10
  2. 5
  3. 78
  4. 16
  5. 15
  6. 35
  7. 180
  8. 4
  9. 220
  10. 18
  11. 72
  12. 320
  13. 56
  14. 1
  15. 8
  16. 12
  17. 9
  18. 29
  19. 10
  20. 22
  21. 14
  22. 9
  23. 90
  24. 50
  25. 27
  26. 3
  27. 28
  28. 36
  29. 7
  30. 27
  31. 135
  32. 285
  33. 16
  34. 35
  35. 31
  36. 22
  37. 16
  38. 11
  39. 150
  40. 270

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