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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 401 · 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 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  2. 2.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 100 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  5. 5.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 170 m and 190 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?
  7. 7.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  8. 8.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 35 km upstream and come back?
  11. 11.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  12. 12.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  13. 13.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  14. 14.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  15. 15.Two trains, 90 m and 155 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?
  16. 16.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 117 km upstream and come back?
  17. 17.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  20. 20.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  21. 21.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  22. 22.Two trains, 220 m and 180 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  23. 23.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  24. 24.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  25. 25.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  26. 26.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?
  27. 27.Two trains, 180 m and 60 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 170 m and 80 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?
  30. 30.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  32. 32.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  33. 33.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 90 m and 180 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?
  35. 35.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.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 70 km upstream and come back?
  37. 37.Two trains, 70 m and 80 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?
  38. 38.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 112 km upstream and come back?
  40. 40.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 14
  2. 29
  3. 4
  4. 9
  5. 4
  6. 12
  7. 210
  8. 1
  9. 600
  10. 8
  11. 27
  12. 175
  13. 23
  14. 20
  15. 7
  16. 52
  17. 22
  18. 18
  19. 24
  20. 24
  21. 560
  22. 10
  23. 195
  24. 32
  25. 37
  26. 36
  27. 6
  28. 7
  29. 10
  30. 16
  31. 23
  32. 225
  33. 20
  34. 9
  35. 13
  36. 24
  37. 5
  38. 27
  39. 63
  40. 4

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