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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 519 · 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 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.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 105 km upstream and come back?
  3. 3.Two trains, 70 m and 230 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?
  4. 4.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  6. 6.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  9. 9.Two trains, 80 m and 370 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?
  10. 10.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 60 m and 190 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?
  12. 12.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?
  13. 13.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 60 km upstream and come back?
  14. 14.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?
  15. 15.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?
  16. 16.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)?
  17. 17.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  18. 18.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  19. 19.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 190 m and 350 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?
  21. 21.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  22. 22.Two trains, 110 m and 65 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?
  23. 23.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  24. 24.Two trains, 100 m and 175 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 boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 112 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 180 m long?
  27. 27.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 220 m and 185 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?
  29. 29.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  31. 31.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  33. 33.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  34. 34.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 70 m and 330 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  36. 36.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  39. 39.Two trains, 240 m and 145 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?
  40. 40.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 8
  2. 36
  3. 12
  4. 10
  5. 23
  6. 19
  7. 3
  8. 180
  9. 10
  10. 19
  11. 10
  12. 24
  13. 32
  14. 6
  15. 6
  16. 8
  17. 25
  18. 750
  19. 3
  20. 12
  21. 450
  22. 5
  23. 21
  24. 11
  25. 64
  26. 25
  27. 7
  28. 9
  29. 5
  30. 195
  31. 7
  32. 70
  33. 290
  34. 28
  35. 10
  36. 29
  37. 16
  38. 18
  39. 11
  40. 10

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