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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 201 · 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 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 130 m and 110 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?
  3. 3.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  4. 4.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 210 m and 70 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?
  9. 9.Two trains, 160 m and 140 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?
  10. 10.Two trains, 90 m and 160 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?
  11. 11.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  13. 13.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?
  14. 14.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  15. 15.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  19. 19.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  21. 21.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  22. 22.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  23. 23.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 36 km upstream and come back?
  24. 24.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  25. 25.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?
  26. 26.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 27 km upstream and come back?
  27. 27.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  30. 30.Two trains, 90 m and 85 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?
  31. 31.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  32. 32.Two trains, 210 m and 90 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?
  33. 33.A boat goes 36 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 running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 20 km upstream and come back?
  36. 36.Two trains, 70 m and 330 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?
  37. 37.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  38. 38.Two trains, 150 m and 150 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?
  39. 39.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  40. 40.A boat goes 92 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 22
  2. 6
  3. 23
  4. 2
  5. 20
  6. 7
  7. 9
  8. 8
  9. 6
  10. 5
  11. 11
  12. 140
  13. 16
  14. 100
  15. 3
  16. 27
  17. 28
  18. 440
  19. 6
  20. 19
  21. 35
  22. 19
  23. 16
  24. 30
  25. 24
  26. 4
  27. 24
  28. 8
  29. 38
  30. 5
  31. 38
  32. 10
  33. 2
  34. 130
  35. 3
  36. 8
  37. 22
  38. 12
  39. 34
  40. 19

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