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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 195 · 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 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  3. 3.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.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 32 km upstream and come back?
  6. 6.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  8. 8.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  10. 10.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  11. 11.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  12. 12.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  13. 13.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  15. 15.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  16. 16.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  17. 17.Two trains, 160 m and 380 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 boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 81 km upstream and come back?
  19. 19.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  20. 20.A boat goes at 15 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?
  21. 21.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  22. 22.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  23. 23.Two trains, 230 m and 220 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?
  24. 24.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  25. 25.A boat goes 38 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)?
  26. 26.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.Two trains, 50 m and 90 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  28. 28.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  30. 30.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?
  31. 31.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  32. 32.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 60 m and 270 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?
  34. 34.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 120 km upstream and come back?
  36. 36.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 24 km upstream and come back?
  37. 37.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  39. 39.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 42 km upstream and come back?
  40. 40.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 20
  2. 36
  3. 28
  4. 7
  5. 5
  6. 22
  7. 21
  8. 27
  9. 20
  10. 42
  11. 20
  12. 32
  13. 23
  14. 300
  15. 21
  16. 210
  17. 12
  18. 36
  19. 44
  20. 5
  21. 12
  22. 20
  23. 10
  24. 250
  25. 17
  26. 19
  27. 4
  28. 17
  29. 60
  30. 18
  31. 16
  32. 14
  33. 11
  34. 160
  35. 66
  36. 9
  37. 1
  38. 220
  39. 16
  40. 3

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