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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 454 · 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 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  2. 2.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 105 km upstream and come back?
  4. 4.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  6. 6.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 50 m and 225 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?
  8. 8.A boat goes 60 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)?
  9. 9.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  12. 12.Two trains, 110 m and 90 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?
  13. 13.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  15. 15.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  17. 17.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  18. 18.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  19. 19.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  21. 21.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  24. 24.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  25. 25.Two trains, 180 m and 205 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?
  26. 26.Two trains, 140 m and 300 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  27. 27.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  29. 29.Two trains, 190 m and 130 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?
  30. 30.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  35. 35.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  36. 36.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 90 km upstream and come back?
  37. 37.Two trains, 90 m and 410 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  38. 38.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  39. 39.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  40. 40.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 450
  2. 60
  3. 28
  4. 13
  5. 300
  6. 4
  7. 11
  8. 13
  9. 23
  10. 12
  11. 200
  12. 10
  13. 2
  14. 11
  15. 23
  16. 31
  17. 43
  18. 350
  19. 9
  20. 13
  21. 20
  22. 19
  23. 28
  24. 280
  25. 11
  26. 11
  27. 24
  28. 50
  29. 8
  30. 13
  31. 16
  32. 12
  33. 7
  34. 14
  35. 28
  36. 18
  37. 10
  38. 300
  39. 42
  40. 29

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