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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 177 · 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 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  3. 3.A train 220 m long runs at 36 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 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  6. 6.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  7. 7.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  8. 8.Two trains, 120 m and 280 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?
  9. 9.Two trains, 110 m and 240 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?
  10. 10.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?
  11. 11.Two trains, 140 m and 60 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?
  12. 12.Two trains, 190 m and 230 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 105 km upstream and come back?
  16. 16.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 81 km upstream and come back?
  17. 17.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  18. 18.Two trains, 170 m and 370 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?
  19. 19.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  20. 20.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  24. 24.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  25. 25.Two trains, 80 m and 120 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  26. 26.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  27. 27.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  28. 28.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  33. 33.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  34. 34.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  38. 38.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 12 km upstream and come back?
  39. 39.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 5
  2. 24
  3. 22
  4. 165
  5. 25
  6. 45
  7. 34
  8. 10
  9. 10
  10. 14
  11. 8
  12. 12
  13. 150
  14. 22
  15. 110
  16. 30
  17. 42
  18. 12
  19. 28
  20. 16
  21. 19
  22. 2
  23. 725
  24. 37
  25. 5
  26. 27
  27. 19
  28. 14
  29. 8
  30. 3
  31. 5
  32. 25
  33. 475
  34. 20
  35. 18
  36. 50
  37. 11
  38. 5
  39. 2
  40. 8

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