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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 638 · 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 240 m long?
  2. 2.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 90 m and 90 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?
  5. 5.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  6. 6.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  7. 7.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  9. 9.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  11. 11.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.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?
  13. 13.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  14. 14.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  15. 15.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  16. 16.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 120 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?
  18. 18.Two trains, 210 m and 175 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  19. 19.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?
  20. 20.Two trains, 100 m and 110 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  21. 21.Two trains, 110 m and 275 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?
  22. 22.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.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 56 km upstream and come back?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  25. 25.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  26. 26.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?
  27. 27.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  28. 28.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  29. 29.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  31. 31.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  32. 32.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 42 km upstream and come back?
  33. 33.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 150 m and 350 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?
  36. 36.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  38. 38.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 80 m and 305 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?
  40. 40.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?

Answer key

  1. 38
  2. 21
  3. 15
  4. 4
  5. 18
  6. 700
  7. 17
  8. 33
  9. 1
  10. 450
  11. 10
  12. 38
  13. 23
  14. 16
  15. 120
  16. 1
  17. 9
  18. 11
  19. 18
  20. 6
  21. 11
  22. 6
  23. 21
  24. 65
  25. 280
  26. 14
  27. 70
  28. 480
  29. 10
  30. 19
  31. 225
  32. 20
  33. 15
  34. 24
  35. 10
  36. 2
  37. 13
  38. 9
  39. 11
  40. 200

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