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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 275 · 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 train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  2. 2.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  3. 3.Two trains, 50 m and 430 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?
  4. 4.Two trains, 70 m and 175 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  5. 5.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.Two trains, 220 m and 140 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?
  7. 7.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  8. 8.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 14 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 125 m long?
  11. 11.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  12. 12.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.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?
  15. 15.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 105 km upstream and come back?
  17. 17.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 29 km upstream and come back?
  18. 18.Two trains, 120 m and 230 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?
  19. 19.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  20. 20.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  22. 22.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.Two trains, 140 m and 355 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 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  26. 26.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  28. 28.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  29. 29.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  30. 30.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  31. 31.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.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?
  34. 34.Two trains, 200 m and 200 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?
  35. 35.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  36. 36.Two trains, 70 m and 370 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  37. 37.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  38. 38.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?
  39. 39.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 60
  2. 27
  3. 12
  4. 7
  5. 19
  6. 12
  7. 20
  8. 425
  9. 8
  10. 21
  11. 25
  12. 20
  13. 9
  14. 16
  15. 5
  16. 42
  17. 30
  18. 10
  19. 18
  20. 17
  21. 24
  22. 7
  23. 11
  24. 24
  25. 22
  26. 10
  27. 16
  28. 435
  29. 35
  30. 105
  31. 22
  32. 27
  33. 28
  34. 10
  35. 30
  36. 11
  37. 13
  38. 17
  39. 8
  40. 15

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