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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 272 · 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.Two trains, 50 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?
  2. 2.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.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 120 km upstream and come back?
  4. 4.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 33 km upstream and come back?
  5. 5.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  6. 6.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 25 km upstream and come back?
  12. 12.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  14. 14.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  16. 16.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  17. 17.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  18. 18.Two trains, 230 m and 120 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?
  19. 19.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  20. 20.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  22. 22.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  25. 25.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  26. 26.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 99 km upstream and come back?
  27. 27.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  28. 28.Two trains, 130 m and 70 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?
  29. 29.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?
  30. 30.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 64 km upstream and come back?
  33. 33.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  34. 34.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 80 m and 305 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?
  36. 36.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 88 km upstream and come back?
  37. 37.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.Two trains, 170 m and 50 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?
  40. 40.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 10
  2. 11
  3. 45
  4. 12
  5. 400
  6. 11
  7. 13
  8. 26
  9. 3
  10. 16
  11. 6
  12. 19
  13. 23
  14. 31
  15. 32
  16. 28
  17. 200
  18. 10
  19. 25
  20. 6
  21. 60
  22. 2
  23. 6
  24. 36
  25. 29
  26. 44
  27. 105
  28. 10
  29. 60
  30. 4
  31. 28
  32. 36
  33. 17
  34. 16
  35. 11
  36. 96
  37. 11
  38. 7
  39. 11
  40. 4

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