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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 259 · 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 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  2. 2.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  3. 3.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 36 km upstream and come back?
  5. 5.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  6. 6.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.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?
  8. 8.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 105 km upstream and come back?
  9. 9.Two trains, 50 m and 300 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  11. 11.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 84 km upstream and come back?
  12. 12.Two trains, 110 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  13. 13.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  14. 14.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  16. 16.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  17. 17.Two trains, 120 m and 240 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?
  18. 18.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  20. 20.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  21. 21.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  22. 22.Two trains, 120 m and 300 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?
  23. 23.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  24. 24.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  25. 25.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  26. 26.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  27. 27.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  28. 28.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 24 km upstream and come back?
  29. 29.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  30. 30.Two trains, 160 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  31. 31.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  32. 32.Two trains, 140 m and 140 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?
  33. 33.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 12 km upstream and come back?
  34. 34.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  35. 35.Two trains, 140 m and 300 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 train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  37. 37.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?

Answer key

  1. 30
  2. 520
  3. 10
  4. 12
  5. 14
  6. 24
  7. 12
  8. 50
  9. 7
  10. 450
  11. 21
  12. 8
  13. 29
  14. 16
  15. 23
  16. 285
  17. 12
  18. 60
  19. 32
  20. 18
  21. 37
  22. 12
  23. 32
  24. 480
  25. 22
  26. 220
  27. 34
  28. 5
  29. 200
  30. 11
  31. 16
  32. 8
  33. 5
  34. 12
  35. 11
  36. 20
  37. 25
  38. 17
  39. 18
  40. 28

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