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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 818 · 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 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 50 m and 70 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?
  3. 3.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 72 km upstream and come back?
  4. 4.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  5. 5.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 60 km upstream and come back?
  7. 7.Two trains, 110 m and 50 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?
  8. 8.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 90 km upstream and come back?
  10. 10.Two trains, 80 m and 470 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  11. 11.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 90 m and 120 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes 48 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)?
  14. 14.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 75 km upstream and come back?
  16. 16.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  17. 17.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  19. 19.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  21. 21.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 190 m and 110 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  23. 23.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  25. 25.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 100 m and 230 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?
  27. 27.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  28. 28.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?
  29. 29.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 36 km upstream and come back?
  30. 30.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  31. 31.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  32. 32.Two trains, 100 m and 320 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 boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 70 m and 230 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  40. 40.Two trains, 230 m and 220 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 7
  2. 6
  3. 27
  4. 30
  5. 21
  6. 12
  7. 8
  8. 600
  9. 18
  10. 11
  11. 20
  12. 7
  13. 9
  14. 220
  15. 80
  16. 300
  17. 5
  18. 110
  19. 10
  20. 38
  21. 8
  22. 6
  23. 18
  24. 19
  25. 26
  26. 11
  27. 390
  28. 8
  29. 8
  30. 33
  31. 29
  32. 12
  33. 3
  34. 20
  35. 23
  36. 5
  37. 6
  38. 21
  39. 18
  40. 9

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