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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 212 · 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 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  2. 2.Two trains, 80 m and 60 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  3. 3.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  4. 4.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  6. 6.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  7. 7.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.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 92 km upstream and come back?
  9. 9.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.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 96 km upstream and come back?
  11. 11.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  12. 12.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  15. 15.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  16. 16.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  17. 17.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  18. 18.A boat goes 26 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)?
  19. 19.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 150 m and 130 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?
  22. 22.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  23. 23.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  24. 24.A boat goes 72 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)?
  25. 25.A boat goes 105 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  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 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  31. 31.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  34. 34.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 63 km upstream and come back?
  35. 35.Two trains, 250 m and 230 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?
  36. 36.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 72 km upstream and come back?
  37. 37.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  38. 38.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  39. 39.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 405
  2. 4
  3. 105
  4. 250
  5. 12
  6. 33
  7. 6
  8. 96
  9. 6
  10. 51
  11. 255
  12. 9
  13. 1
  14. 350
  15. 27
  16. 440
  17. 480
  18. 11
  19. 14
  20. 1
  21. 8
  22. 13
  23. 30
  24. 17
  25. 4
  26. 26
  27. 10
  28. 7
  29. 12
  30. 280
  31. 1
  32. 75
  33. 18
  34. 24
  35. 12
  36. 42
  37. 180
  38. 18
  39. 1
  40. 16

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