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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 89 · 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 boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  2. 2.Two trains, 60 m and 90 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 train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  4. 4.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.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?
  7. 7.Two trains, 100 m and 170 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  8. 8.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  9. 9.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  10. 10.Two trains, 80 m and 240 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?
  11. 11.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  12. 12.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  13. 13.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 115 km upstream and come back?
  19. 19.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 60 km upstream and come back?
  20. 20.Two trains, 140 m and 60 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?
  21. 21.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  23. 23.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  24. 24.Two trains, 130 m and 170 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?
  25. 25.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  26. 26.Two trains, 240 m and 180 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?
  27. 27.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 117 km upstream and come back?
  28. 28.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  29. 29.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  30. 30.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 140 m and 175 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?
  33. 33.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  35. 35.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  36. 36.Two trains, 110 m and 330 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?
  37. 37.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  39. 39.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  40. 40.Two trains, 120 m and 265 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?

Answer key

  1. 25
  2. 6
  3. 19
  4. 10
  5. 7
  6. 45
  7. 9
  8. 29
  9. 15
  10. 8
  11. 400
  12. 26
  13. 6
  14. 4
  15. 6
  16. 21
  17. 20
  18. 120
  19. 17
  20. 8
  21. 9
  22. 90
  23. 24
  24. 12
  25. 50
  26. 12
  27. 126
  28. 32
  29. 12
  30. 3
  31. 30
  32. 9
  33. 28
  34. 175
  35. 390
  36. 11
  37. 29
  38. 40
  39. 37
  40. 11

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