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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 664 · 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 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?
  2. 2.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  5. 5.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  6. 6.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 230 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  8. 8.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  9. 9.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  10. 10.Two trains, 60 m and 215 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?
  11. 11.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 240 m and 240 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  13. 13.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  14. 14.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  15. 15.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  16. 16.Two trains, 90 m and 390 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?
  17. 17.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  18. 18.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  19. 19.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  22. 22.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  23. 23.Two trains, 120 m and 285 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  24. 24.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  25. 25.A train 500 m long runs at 90 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 14 seconds. How long is the train (in metres)?
  27. 27.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 75 km upstream and come back?
  31. 31.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  33. 33.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  34. 34.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 100 m and 215 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?
  36. 36.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 96 km upstream and come back?
  37. 37.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  38. 38.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 104 km upstream and come back?
  40. 40.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 24 km upstream and come back?

Answer key

  1. 14
  2. 7
  3. 9
  4. 16
  5. 16
  6. 2
  7. 12
  8. 18
  9. 18
  10. 11
  11. 12
  12. 12
  13. 23
  14. 550
  15. 170
  16. 12
  17. 230
  18. 34
  19. 1
  20. 2
  21. 200
  22. 35
  23. 9
  24. 26
  25. 20
  26. 140
  27. 8
  28. 90
  29. 22
  30. 78
  31. 19
  32. 440
  33. 41
  34. 10
  35. 7
  36. 24
  37. 24
  38. 33
  39. 30
  40. 10

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