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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 294 · 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 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  2. 2.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  3. 3.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  4. 4.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  6. 6.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  7. 7.Two trains, 150 m and 150 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?
  8. 8.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  9. 9.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  11. 11.Two trains, 210 m and 90 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?
  12. 12.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 78 km upstream and come back?
  13. 13.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  14. 14.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  15. 15.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  17. 17.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  19. 19.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 250 m and 50 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?
  21. 21.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 37 km upstream and come back?
  22. 22.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  24. 24.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 75 km upstream and come back?
  25. 25.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 110 m and 170 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?
  28. 28.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  29. 29.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  30. 30.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.Two trains, 90 m and 240 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?
  32. 32.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 105 km upstream and come back?
  35. 35.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  36. 36.A boat goes 51 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)?
  37. 37.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  38. 38.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  40. 40.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 56 km upstream and come back?

Answer key

  1. 22
  2. 20
  3. 210
  4. 3
  5. 280
  6. 19
  7. 12
  8. 285
  9. 13
  10. 275
  11. 6
  12. 84
  13. 31
  14. 500
  15. 11
  16. 375
  17. 13
  18. 26
  19. 2
  20. 10
  21. 38
  22. 20
  23. 39
  24. 18
  25. 16
  26. 22
  27. 8
  28. 19
  29. 270
  30. 5
  31. 11
  32. 4
  33. 300
  34. 24
  35. 220
  36. 13
  37. 16
  38. 13
  39. 200
  40. 18

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