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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 78 · 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 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  2. 2.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  3. 3.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 100 m and 140 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?
  6. 6.Two trains, 150 m and 270 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?
  7. 7.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  8. 8.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  9. 9.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  10. 10.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  12. 12.Two trains, 160 m and 240 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?
  13. 13.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.Two trains, 230 m and 120 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?
  16. 16.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  18. 18.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  22. 22.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 80 m and 130 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?
  25. 25.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  26. 26.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  28. 28.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  29. 29.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  30. 30.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  31. 31.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  32. 32.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  33. 33.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  34. 34.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  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 train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.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?
  38. 38.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  39. 39.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 15
  2. 14
  3. 27
  4. 30
  5. 8
  6. 12
  7. 170
  8. 39
  9. 24
  10. 4
  11. 12
  12. 10
  13. 8
  14. 8
  15. 10
  16. 22
  17. 16
  18. 6
  19. 3
  20. 7
  21. 18
  22. 6
  23. 20
  24. 6
  25. 32
  26. 16
  27. 27
  28. 320
  29. 275
  30. 300
  31. 300
  32. 28
  33. 19
  34. 90
  35. 13
  36. 10
  37. 36
  38. 24
  39. 250
  40. 14

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