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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 44 · 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 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 50 m and 90 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?
  4. 4.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 36 km upstream and come back?
  5. 5.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  8. 8.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  9. 9.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 42 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)?
  11. 11.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)?
  12. 12.Two trains, 50 m and 225 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 boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 54 km upstream and come back?
  14. 14.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  15. 15.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 40 km upstream and come back?
  16. 16.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  18. 18.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.Two trains, 70 m and 90 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?
  20. 20.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  21. 21.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 96 km upstream and come back?
  22. 22.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.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?
  24. 24.Two trains, 100 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?
  25. 25.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  26. 26.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 30 km upstream and come back?
  28. 28.Two trains, 60 m and 150 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?
  29. 29.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  30. 30.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  33. 33.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?
  34. 34.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  37. 37.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  38. 38.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  39. 39.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  40. 40.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?

Answer key

  1. 8
  2. 23
  3. 7
  4. 21
  5. 7
  6. 8
  7. 36
  8. 22
  9. 19
  10. 10
  11. 7
  12. 11
  13. 60
  14. 21
  15. 7
  16. 18
  17. 60
  18. 150
  19. 4
  20. 20
  21. 56
  22. 12
  23. 50
  24. 8
  25. 90
  26. 15
  27. 4
  28. 7
  29. 41
  30. 26
  31. 13
  32. 26
  33. 90
  34. 3
  35. 5
  36. 33
  37. 34
  38. 42
  39. 280
  40. 200

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