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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 431 · 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 10 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?
  2. 2.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  4. 4.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 110 km upstream and come back?
  5. 5.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  7. 7.Two trains, 120 m and 120 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?
  8. 8.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  9. 9.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 104 km upstream and come back?
  10. 10.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  11. 11.Two trains, 60 m and 300 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?
  12. 12.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.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?
  15. 15.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 108 km upstream and come back?
  18. 18.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  20. 20.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  24. 24.Two trains, 60 m and 300 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?
  25. 25.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  27. 27.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  30. 30.Two trains, 60 m and 60 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?
  31. 31.Two trains, 50 m and 100 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  32. 32.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  33. 33.A boat goes 39 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 56 km upstream and come back?
  35. 35.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  38. 38.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  39. 39.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  40. 40.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?

Answer key

  1. 25
  2. 8
  3. 18
  4. 66
  5. 12
  6. 29
  7. 8
  8. 400
  9. 39
  10. 28
  11. 12
  12. 4
  13. 1
  14. 9
  15. 13
  16. 22
  17. 45
  18. 8
  19. 350
  20. 25
  21. 1
  22. 10
  23. 40
  24. 12
  25. 13
  26. 190
  27. 1
  28. 600
  29. 16
  30. 4
  31. 6
  32. 28
  33. 3
  34. 30
  35. 19
  36. 9
  37. 20
  38. 28
  39. 540
  40. 520

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