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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 246 · 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 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 90 km upstream and come back?
  5. 5.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  6. 6.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  7. 7.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  8. 8.Two trains, 160 m and 120 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?
  9. 9.Two trains, 230 m and 70 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?
  10. 10.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  11. 11.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  15. 15.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 84 km upstream and come back?
  17. 17.Two trains, 110 m and 65 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?
  18. 18.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  21. 21.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  22. 22.Two trains, 120 m and 200 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.Two trains, 80 m and 235 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?
  24. 24.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  26. 26.Two trains, 110 m and 275 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?
  27. 27.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 36 km upstream and come back?
  28. 28.A boat goes 54 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  31. 31.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.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?
  33. 33.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  34. 34.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  36. 36.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  37. 37.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?
  38. 38.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.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 45 km upstream and come back?
  40. 40.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 3
  2. 7
  3. 15
  4. 20
  5. 31
  6. 200
  7. 16
  8. 7
  9. 10
  10. 140
  11. 17
  12. 5
  13. 27
  14. 33
  15. 11
  16. 27
  17. 5
  18. 7
  19. 19
  20. 360
  21. 450
  22. 8
  23. 7
  24. 19
  25. 30
  26. 11
  27. 10
  28. 2
  29. 650
  30. 22
  31. 4
  32. 18
  33. 475
  34. 3
  35. 28
  36. 700
  37. 22
  38. 28
  39. 14
  40. 4

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