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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 873 · 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 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  4. 4.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  6. 6.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  8. 8.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.Two trains, 60 m and 90 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?
  10. 10.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 90 km upstream and come back?
  11. 11.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  12. 12.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.Two trains, 140 m and 60 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  14. 14.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  16. 16.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.Two trains, 70 m and 170 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?
  19. 19.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  20. 20.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  21. 21.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?
  22. 22.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  24. 24.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  26. 26.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 190 m and 160 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?
  29. 29.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  31. 31.Two trains, 60 m and 150 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?
  32. 32.Two trains, 70 m and 280 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  33. 33.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  34. 34.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  37. 37.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  38. 38.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  39. 39.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  40. 40.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?

Answer key

  1. 26
  2. 9
  3. 32
  4. 11
  5. 18
  6. 2
  7. 100
  8. 90
  9. 6
  10. 28
  11. 280
  12. 18
  13. 5
  14. 15
  15. 28
  16. 25
  17. 5
  18. 8
  19. 22
  20. 230
  21. 16
  22. 29
  23. 16
  24. 39
  25. 32
  26. 4
  27. 8
  28. 10
  29. 17
  30. 15
  31. 6
  32. 10
  33. 130
  34. 6
  35. 8
  36. 140
  37. 20
  38. 28
  39. 200
  40. 24

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