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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 766 · 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 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  5. 5.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 114 km upstream and come back?
  6. 6.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)?
  7. 7.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  8. 8.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 105 km upstream and come back?
  9. 9.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 51 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)?
  11. 11.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  13. 13.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.Two trains, 200 m and 100 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  15. 15.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  16. 16.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  17. 17.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.Two trains, 50 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  19. 19.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  20. 20.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  23. 23.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 120 km upstream and come back?
  24. 24.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  25. 25.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  27. 27.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  30. 30.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  31. 31.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 96 km upstream and come back?
  32. 32.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.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 84 km upstream and come back?
  34. 34.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  35. 35.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  37. 37.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 104 km upstream and come back?
  38. 38.A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 80 m and 195 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  40. 40.Two trains, 70 m and 170 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?

Answer key

  1. 10
  2. 11
  3. 80
  4. 9
  5. 60
  6. 1
  7. 24
  8. 108
  9. 30
  10. 14
  11. 27
  12. 32
  13. 1
  14. 10
  15. 60
  16. 35
  17. 20
  18. 4
  19. 200
  20. 6
  21. 20
  22. 195
  23. 32
  24. 240
  25. 11
  26. 36
  27. 16
  28. 2
  29. 240
  30. 25
  31. 15
  32. 3
  33. 48
  34. 30
  35. 28
  36. 39
  37. 112
  38. 4
  39. 11
  40. 6

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