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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 468 · 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 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 66 km upstream and come back?
  2. 2.Two trains, 70 m and 80 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?
  3. 3.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  5. 5.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  6. 6.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  8. 8.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  9. 9.A boat goes 80 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)?
  10. 10.Two trains, 90 m and 270 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?
  11. 11.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  13. 13.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  15. 15.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 120 km upstream and come back?
  16. 16.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  17. 17.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  19. 19.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  21. 21.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  23. 23.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.Two trains, 50 m and 150 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?
  25. 25.A boat goes 100 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  28. 28.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  29. 29.Two trains, 70 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  30. 30.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  33. 33.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  34. 34.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  37. 37.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  38. 38.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 80 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)?
  40. 40.Two trains, 110 m and 110 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?

Answer key

  1. 72
  2. 6
  3. 18
  4. 165
  5. 24
  6. 17
  7. 90
  8. 290
  9. 13
  10. 12
  11. 7
  12. 240
  13. 5
  14. 36
  15. 70
  16. 27
  17. 35
  18. 4
  19. 17
  20. 24
  21. 9
  22. 300
  23. 12
  24. 10
  25. 16
  26. 20
  27. 28
  28. 450
  29. 6
  30. 4
  31. 17
  32. 21
  33. 18
  34. 15
  35. 12
  36. 27
  37. 37
  38. 12
  39. 16
  40. 11

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