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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 544 · 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 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  4. 4.A boat goes 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  6. 6.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?
  7. 7.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.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 99 km upstream and come back?
  9. 9.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 70 km upstream and come back?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  11. 11.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 27 km upstream and come back?
  13. 13.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  14. 14.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  15. 15.A boat goes 48 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  17. 17.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  18. 18.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  20. 20.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  22. 22.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  25. 25.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 210 m and 240 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?
  27. 27.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  28. 28.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  30. 30.Two trains, 110 m and 190 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  31. 31.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  32. 32.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  33. 33.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 140 m and 60 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?
  36. 36.Two trains, 50 m and 265 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  37. 37.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?

Answer key

  1. 24
  2. 180
  3. 480
  4. 3
  5. 34
  6. 28
  7. 12
  8. 108
  9. 72
  10. 44
  11. 29
  12. 30
  13. 275
  14. 20
  15. 14
  16. 26
  17. 45
  18. 25
  19. 27
  20. 5
  21. 225
  22. 27
  23. 14
  24. 19
  25. 20
  26. 10
  27. 450
  28. 14
  29. 41
  30. 12
  31. 160
  32. 14
  33. 3
  34. 27
  35. 10
  36. 7
  37. 26
  38. 4
  39. 2
  40. 100

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