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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 499 · 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 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  2. 2.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  3. 3.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  4. 4.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.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 90 km upstream and come back?
  6. 6.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  9. 9.Two trains, 60 m and 220 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?
  10. 10.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.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?
  14. 14.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  18. 18.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?
  19. 19.Two trains, 250 m and 65 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 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  22. 22.Two trains, 240 m and 360 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?
  23. 23.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?
  24. 24.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  25. 25.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  26. 26.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  27. 27.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  28. 28.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  29. 29.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  30. 30.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  33. 33.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  34. 34.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  35. 35.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  36. 36.Two trains, 120 m and 180 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?
  37. 37.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  40. 40.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?

Answer key

  1. 14
  2. 270
  3. 180
  4. 12
  5. 36
  6. 8
  7. 7
  8. 23
  9. 8
  10. 20
  11. 20
  12. 20
  13. 16
  14. 7
  15. 29
  16. 4
  17. 500
  18. 13
  19. 7
  20. 18
  21. 210
  22. 12
  23. 14
  24. 275
  25. 26
  26. 28
  27. 21
  28. 39
  29. 36
  30. 29
  31. 1
  32. 435
  33. 30
  34. 27
  35. 165
  36. 12
  37. 1
  38. 225
  39. 12
  40. 26

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