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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 163 · 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 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  5. 5.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  6. 6.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 24 km upstream and come back?
  8. 8.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  9. 9.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 80 km upstream and come back?
  11. 11.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 120 m and 300 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?
  13. 13.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 24 km upstream and come back?
  14. 14.Two trains, 90 m and 60 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?
  15. 15.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  16. 16.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  17. 17.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 21 km upstream and come back?
  18. 18.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  19. 19.Two trains, 120 m and 105 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?
  20. 20.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 90 m and 110 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?
  22. 22.Two trains, 50 m and 250 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?
  23. 23.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  25. 25.Two trains, 120 m and 80 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?
  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 at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 20 km upstream and come back?
  28. 28.Two trains, 80 m and 190 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?
  29. 29.Two trains, 140 m and 80 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  30. 30.Two trains, 90 m and 295 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?
  31. 31.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  32. 32.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  33. 33.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?
  34. 34.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 100 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?
  36. 36.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?
  37. 37.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  39. 39.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 78 km upstream and come back?
  40. 40.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 14
  2. 16
  3. 16
  4. 19
  5. 480
  6. 80
  7. 14
  8. 26
  9. 250
  10. 12
  11. 12
  12. 12
  13. 3
  14. 5
  15. 34
  16. 29
  17. 8
  18. 40
  19. 5
  20. 12
  21. 5
  22. 10
  23. 6
  24. 500
  25. 4
  26. 190
  27. 6
  28. 9
  29. 11
  30. 11
  31. 15
  32. 36
  33. 16
  34. 9
  35. 8
  36. 16
  37. 8
  38. 26
  39. 32
  40. 8

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