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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 904 · 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 30 seconds. How long is the train (in metres)?
  2. 2.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 140 m and 280 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?
  4. 4.Two trains, 180 m and 70 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?
  5. 5.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  6. 6.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?
  7. 7.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  9. 9.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  10. 10.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  12. 12.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  14. 14.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  16. 16.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  17. 17.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 32 km upstream and come back?
  19. 19.Two trains, 170 m and 325 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 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?
  21. 21.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 81 km upstream and come back?
  22. 22.Two trains, 80 m and 220 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?
  23. 23.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  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 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.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?
  27. 27.Two trains, 120 m and 150 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?
  28. 28.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  30. 30.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.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 52 km upstream and come back?
  32. 32.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  33. 33.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  34. 34.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  35. 35.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  37. 37.Two trains, 70 m and 350 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?
  38. 38.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  39. 39.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?

Answer key

  1. 300
  2. 26
  3. 12
  4. 10
  5. 13
  6. 16
  7. 12
  8. 17
  9. 33
  10. 10
  11. 34
  12. 15
  13. 24
  14. 220
  15. 22
  16. 250
  17. 7
  18. 9
  19. 11
  20. 18
  21. 84
  22. 10
  23. 10
  24. 24
  25. 8
  26. 18
  27. 6
  28. 12
  29. 12
  30. 12
  31. 15
  32. 29
  33. 375
  34. 24
  35. 14
  36. 475
  37. 12
  38. 44
  39. 14
  40. 35

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