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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 215 · 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 boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  2. 2.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 80 m and 165 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?
  4. 4.Two trains, 130 m and 115 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  5. 5.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  6. 6.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  7. 7.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 60 km upstream and come back?
  9. 9.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  10. 10.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  11. 11.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  12. 12.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 90 m and 210 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?
  14. 14.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  15. 15.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  16. 16.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  17. 17.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.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 110 km upstream and come back?
  19. 19.Two trains, 210 m and 150 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?
  20. 20.Two trains, 80 m and 220 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?
  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 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  23. 23.Two trains, 210 m and 70 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?
  24. 24.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 105 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)?
  26. 26.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  28. 28.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  29. 29.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  30. 30.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  31. 31.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  32. 32.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 36 km upstream and come back?
  33. 33.Two trains, 110 m and 340 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?
  34. 34.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  35. 35.A boat goes 18 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)?
  36. 36.Two trains, 180 m and 60 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?
  37. 37.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 110 m and 250 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?
  40. 40.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?

Answer key

  1. 9
  2. 12
  3. 7
  4. 7
  5. 20
  6. 315
  7. 450
  8. 12
  9. 36
  10. 180
  11. 41
  12. 7
  13. 12
  14. 26
  15. 650
  16. 195
  17. 1
  18. 120
  19. 12
  20. 10
  21. 56
  22. 34
  23. 8
  24. 23
  25. 19
  26. 10
  27. 405
  28. 41
  29. 38
  30. 38
  31. 25
  32. 20
  33. 10
  34. 180
  35. 6
  36. 8
  37. 4
  38. 7
  39. 8
  40. 38

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