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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 14 · 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 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 250 m and 50 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?
  3. 3.A boat goes 72 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)?
  4. 4.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  5. 5.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  8. 8.Two trains, 70 m and 155 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?
  9. 9.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  11. 11.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  12. 12.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  13. 13.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  14. 14.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  15. 15.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 100 km upstream and come back?
  18. 18.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.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 72 km upstream and come back?
  22. 22.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  23. 23.Two trains, 60 m and 185 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?
  24. 24.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  25. 25.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?
  27. 27.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  28. 28.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 81 km upstream and come back?
  29. 29.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  32. 32.Two trains, 250 m and 80 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?
  33. 33.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  34. 34.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  35. 35.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  38. 38.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  39. 39.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?

Answer key

  1. 30
  2. 10
  3. 15
  4. 22
  5. 16
  6. 2
  7. 160
  8. 9
  9. 200
  10. 20
  11. 14
  12. 20
  13. 15
  14. 105
  15. 5
  16. 290
  17. 30
  18. 13
  19. 28
  20. 9
  21. 42
  22. 200
  23. 7
  24. 175
  25. 6
  26. 72
  27. 13
  28. 90
  29. 15
  30. 11
  31. 475
  32. 11
  33. 270
  34. 31
  35. 5
  36. 150
  37. 725
  38. 80
  39. 29
  40. 250

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