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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 723 · 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 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  2. 2.Two trains, 140 m and 160 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?
  3. 3.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  4. 4.Two trains, 60 m and 360 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?
  5. 5.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  10. 10.Two trains, 70 m and 205 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?
  11. 11.Two trains, 50 m and 150 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?
  12. 12.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  13. 13.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  14. 14.Two trains, 220 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?
  15. 15.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  17. 17.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  19. 19.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  20. 20.Two trains, 170 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?
  21. 21.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  23. 23.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  24. 24.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 99 km upstream and come back?
  25. 25.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  26. 26.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  27. 27.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  28. 28.Two trains, 50 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?
  29. 29.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  30. 30.Two trains, 70 m and 55 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?
  31. 31.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  33. 33.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 150 m and 255 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?
  36. 36.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.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 90 km upstream and come back?
  38. 38.Two trains, 100 m and 110 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?
  39. 39.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  40. 40.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?

Answer key

  1. 19
  2. 10
  3. 26
  4. 12
  5. 11
  6. 3
  7. 100
  8. 250
  9. 10
  10. 11
  11. 10
  12. 190
  13. 700
  14. 10
  15. 1
  16. 38
  17. 16
  18. 16
  19. 37
  20. 7
  21. 17
  22. 24
  23. 23
  24. 102
  25. 28
  26. 32
  27. 14
  28. 6
  29. 22
  30. 5
  31. 4
  32. 360
  33. 9
  34. 25
  35. 9
  36. 11
  37. 28
  38. 6
  39. 20
  40. 300

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