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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 653 · 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 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  2. 2.Two trains, 220 m and 55 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?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  4. 4.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  5. 5.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 130 m and 50 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?
  7. 7.A boat goes 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  9. 9.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  10. 10.Two trains, 190 m and 80 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  11. 11.Two trains, 90 m and 225 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 108 km upstream and come back?
  13. 13.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  14. 14.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?
  15. 15.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  16. 16.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  17. 17.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  19. 19.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  22. 22.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  23. 23.Two trains, 50 m and 335 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 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  25. 25.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 8 km upstream and come back?
  28. 28.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  29. 29.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  30. 30.Two trains, 190 m and 125 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?
  31. 31.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  33. 33.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  36. 36.A boat goes 18 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)?
  37. 37.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  38. 38.Two trains, 60 m and 120 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?
  39. 39.Two trains, 240 m and 90 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?
  40. 40.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?

Answer key

  1. 180
  2. 11
  3. 20
  4. 110
  5. 5
  6. 9
  7. 5
  8. 675
  9. 28
  10. 6
  11. 7
  12. 112
  13. 26
  14. 24
  15. 22
  16. 33
  17. 11
  18. 14
  19. 450
  20. 45
  21. 120
  22. 190
  23. 11
  24. 21
  25. 29
  26. 13
  27. 3
  28. 33
  29. 36
  30. 9
  31. 5
  32. 180
  33. 20
  34. 9
  35. 10
  36. 8
  37. 200
  38. 9
  39. 11
  40. 435

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