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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 229 · 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 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  2. 2.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 150 m and 90 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?
  4. 4.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.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?
  6. 6.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  8. 8.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  9. 9.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  12. 12.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  14. 14.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  16. 16.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  17. 17.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 54 km upstream and come back?
  18. 18.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  19. 19.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  20. 20.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  23. 23.Two trains, 180 m and 180 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?
  24. 24.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  28. 28.Two trains, 100 m and 80 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  29. 29.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  30. 30.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  31. 31.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  33. 33.Two trains, 80 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  34. 34.Two trains, 50 m and 195 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?
  35. 35.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  36. 36.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 56 km upstream and come back?
  38. 38.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  39. 39.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  40. 40.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?

Answer key

  1. 26
  2. 6
  3. 6
  4. 10
  5. 8
  6. 13
  7. 30
  8. 33
  9. 275
  10. 20
  11. 38
  12. 13
  13. 220
  14. 5
  15. 39
  16. 600
  17. 30
  18. 26
  19. 33
  20. 29
  21. 24
  22. 300
  23. 8
  24. 14
  25. 26
  26. 3
  27. 10
  28. 9
  29. 28
  30. 225
  31. 3
  32. 32
  33. 11
  34. 7
  35. 28
  36. 17
  37. 32
  38. 285
  39. 43
  40. 60

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