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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 305 · 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 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  2. 2.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.Two trains, 130 m and 185 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  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 train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  6. 6.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 110 m and 65 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 train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  9. 9.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  10. 10.Two trains, 230 m and 130 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?
  11. 11.Two trains, 100 m and 340 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?
  12. 12.Two trains, 50 m and 310 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?
  13. 13.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 32 km upstream and come back?
  14. 14.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?
  15. 15.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 180 m and 205 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?
  17. 17.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  18. 18.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  19. 19.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  20. 20.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 110 m and 310 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?
  23. 23.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 20 km upstream and come back?
  24. 24.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  25. 25.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  26. 26.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 80 m and 200 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?
  32. 32.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.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 63 km upstream and come back?
  35. 35.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  37. 37.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 96 km upstream and come back?
  38. 38.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?
  39. 39.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  40. 40.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 34
  2. 180
  3. 9
  4. 110
  5. 300
  6. 1
  7. 7
  8. 23
  9. 250
  10. 12
  11. 11
  12. 9
  13. 20
  14. 16
  15. 9
  16. 11
  17. 35
  18. 280
  19. 90
  20. 6
  21. 15
  22. 12
  23. 6
  24. 520
  25. 41
  26. 27
  27. 30
  28. 18
  29. 5
  30. 7
  31. 8
  32. 6
  33. 2
  34. 66
  35. 11
  36. 35
  37. 36
  38. 104
  39. 33
  40. 1

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