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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 741 · 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 running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  2. 2.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  3. 3.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 70 m and 130 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 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  7. 7.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 31 km upstream and come back?
  8. 8.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 18 km upstream and come back?
  9. 9.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  11. 11.Two trains, 90 m and 190 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?
  12. 12.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  13. 13.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 110 m and 190 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?
  16. 16.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  18. 18.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  20. 20.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)?
  21. 21.Two trains, 110 m and 205 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?
  22. 22.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  24. 24.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  26. 26.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 57 km upstream and come back?
  27. 27.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 150 m and 70 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 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 51 km upstream and come back?
  30. 30.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 60 m and 140 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?
  32. 32.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  34. 34.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 80 m and 325 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?
  40. 40.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?

Answer key

  1. 440
  2. 330
  3. 3
  4. 8
  5. 8
  6. 28
  7. 32
  8. 10
  9. 5
  10. 18
  11. 8
  12. 140
  13. 9
  14. 11
  15. 12
  16. 27
  17. 420
  18. 7
  19. 19
  20. 10
  21. 9
  22. 6
  23. 29
  24. 10
  25. 17
  26. 22
  27. 5
  28. 11
  29. 54
  30. 30
  31. 8
  32. 450
  33. 14
  34. 18
  35. 3
  36. 22
  37. 20
  38. 12
  39. 9
  40. 520

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