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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 636 · 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 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  3. 3.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  5. 5.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.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 23 km upstream and come back?
  7. 7.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 60 km upstream and come back?
  8. 8.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  9. 9.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  10. 10.Two trains, 120 m and 195 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?
  11. 11.Two trains, 70 m and 150 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?
  12. 12.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 11 km upstream and come back?
  15. 15.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  16. 16.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  17. 17.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 36 km upstream and come back?
  21. 21.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 70 m and 410 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?
  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 75 km upstream and come back?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  27. 27.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  28. 28.Two trains, 60 m and 240 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  29. 29.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  30. 30.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  31. 31.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  32. 32.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  33. 33.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  35. 35.A boat goes 30 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 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  37. 37.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  38. 38.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  40. 40.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 80 km upstream and come back?

Answer key

  1. 6
  2. 170
  3. 9
  4. 22
  5. 26
  6. 24
  7. 16
  8. 24
  9. 175
  10. 7
  11. 11
  12. 24
  13. 10
  14. 12
  15. 270
  16. 19
  17. 17
  18. 7
  19. 12
  20. 11
  21. 6
  22. 12
  23. 20
  24. 8
  25. 26
  26. 16
  27. 32
  28. 10
  29. 22
  30. 420
  31. 20
  32. 150
  33. 7
  34. 30
  35. 4
  36. 21
  37. 150
  38. 525
  39. 18
  40. 48

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