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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 20 · 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 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 21 km upstream and come back?
  3. 3.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 10 km upstream and come back?
  4. 4.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.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?
  7. 7.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  9. 9.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  10. 10.Two trains, 180 m and 135 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?
  11. 11.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  14. 14.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 40 km upstream and come back?
  16. 16.A train running at 36 km/h passes a pole in 28 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.Two trains, 90 m and 210 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?
  19. 19.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 40 km upstream and come back?
  20. 20.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  22. 22.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  23. 23.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  25. 25.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 200 m and 150 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?
  27. 27.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)?
  28. 28.Two trains, 100 m and 260 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.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  30. 30.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  32. 32.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 90 m and 60 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?
  36. 36.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  37. 37.Two trains, 70 m and 70 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 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?

Answer key

  1. 27
  2. 4
  3. 6
  4. 21
  5. 12
  6. 12
  7. 19
  8. 180
  9. 32
  10. 9
  11. 25
  12. 6
  13. 375
  14. 28
  15. 22
  16. 280
  17. 13
  18. 10
  19. 9
  20. 23
  21. 31
  22. 13
  23. 8
  24. 24
  25. 7
  26. 10
  27. 19
  28. 12
  29. 34
  30. 6
  31. 450
  32. 7
  33. 5
  34. 21
  35. 6
  36. 300
  37. 4
  38. 29
  39. 24
  40. 240

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