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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 769 · 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 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  2. 2.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  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 40 km upstream and come back?
  4. 4.Two trains, 70 m and 105 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?
  5. 5.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  6. 6.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  8. 8.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  9. 9.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  10. 10.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 80 m and 270 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?
  12. 12.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  14. 14.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  16. 16.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  18. 18.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 45 km upstream and come back?
  19. 19.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  20. 20.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  21. 21.Two trains, 60 m and 215 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?
  22. 22.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  23. 23.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 99 km upstream and come back?
  24. 24.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.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 117 km upstream and come back?
  27. 27.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  28. 28.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  29. 29.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  30. 30.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 105 km upstream and come back?
  31. 31.Two trains, 90 m and 150 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?
  32. 32.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  33. 33.Two trains, 190 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?
  34. 34.Two trains, 50 m and 265 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  35. 35.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 120 km upstream and come back?
  36. 36.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.Two trains, 100 m and 215 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?
  38. 38.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?

Answer key

  1. 520
  2. 10
  3. 24
  4. 7
  5. 230
  6. 8
  7. 27
  8. 450
  9. 26
  10. 14
  11. 7
  12. 12
  13. 315
  14. 6
  15. 23
  16. 16
  17. 375
  18. 8
  19. 29
  20. 120
  21. 11
  22. 175
  23. 108
  24. 9
  25. 10
  26. 48
  27. 360
  28. 200
  29. 425
  30. 36
  31. 8
  32. 405
  33. 12
  34. 7
  35. 64
  36. 17
  37. 9
  38. 5
  39. 2
  40. 72

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