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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 470 · 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 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  3. 3.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 60 m and 215 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?
  5. 5.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  6. 6.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  7. 7.A boat goes 72 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  11. 11.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  13. 13.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  15. 15.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  16. 16.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  17. 17.Two trains, 130 m and 110 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?
  18. 18.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  19. 19.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  20. 20.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 29 km upstream and come back?
  21. 21.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 100 km upstream and come back?
  25. 25.Two trains, 180 m and 180 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 running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  27. 27.Two trains, 220 m and 80 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?
  28. 28.Two trains, 60 m and 140 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?
  29. 29.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 37 km upstream and come back?
  31. 31.Two trains, 70 m and 175 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?
  32. 32.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 9 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?
  34. 34.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  35. 35.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  36. 36.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?
  37. 37.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  38. 38.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 5
  2. 150
  3. 11
  4. 11
  5. 12
  6. 38
  7. 4
  8. 8
  9. 120
  10. 16
  11. 9
  12. 300
  13. 13
  14. 31
  15. 27
  16. 16
  17. 6
  18. 405
  19. 26
  20. 30
  21. 13
  22. 25
  23. 38
  24. 104
  25. 9
  26. 285
  27. 12
  28. 8
  29. 90
  30. 38
  31. 7
  32. 18
  33. 27
  34. 21
  35. 160
  36. 24
  37. 32
  38. 19
  39. 25
  40. 16

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