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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 334 · 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 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  2. 2.Two trains, 100 m and 80 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?
  3. 3.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  5. 5.Two trains, 120 m and 105 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?
  6. 6.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  7. 7.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  8. 8.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  10. 10.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 24 km upstream and come back?
  12. 12.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  13. 13.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 33 km upstream and come back?
  14. 14.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  17. 17.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  18. 18.Two trains, 100 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 train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  21. 21.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  22. 22.Two trains, 70 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?
  23. 23.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 39 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)?
  25. 25.Two trains, 60 m and 435 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?
  26. 26.Two trains, 60 m and 80 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?
  27. 27.Two trains, 60 m and 300 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?
  28. 28.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?
  29. 29.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 90 km upstream and come back?
  30. 30.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  31. 31.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 160 m and 65 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?
  37. 37.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  40. 40.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?

Answer key

  1. 22
  2. 6
  3. 7
  4. 140
  5. 9
  6. 24
  7. 11
  8. 3
  9. 325
  10. 9
  11. 13
  12. 16
  13. 36
  14. 5
  15. 21
  16. 26
  17. 41
  18. 9
  19. 16
  20. 210
  21. 20
  22. 4
  23. 7
  24. 10
  25. 11
  26. 4
  27. 12
  28. 12
  29. 50
  30. 190
  31. 4
  32. 3
  33. 12
  34. 1
  35. 5
  36. 9
  37. 8
  38. 425
  39. 22
  40. 475

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