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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 173 · 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 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  3. 3.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  4. 4.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 110 km upstream and come back?
  6. 6.Two trains, 140 m and 160 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?
  7. 7.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  8. 8.Two trains, 180 m and 260 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?
  9. 9.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  11. 11.Two trains, 220 m and 275 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?
  12. 12.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  13. 13.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 60 m and 340 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?
  15. 15.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  16. 16.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  17. 17.Two trains, 70 m and 170 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?
  18. 18.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  20. 20.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.Two trains, 180 m and 150 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?
  25. 25.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  27. 27.Two trains, 230 m and 220 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?
  28. 28.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  29. 29.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  32. 32.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  33. 33.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 80 m and 130 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?
  35. 35.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  39. 39.A boat goes 92 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.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?

Answer key

  1. 9
  2. 600
  3. 34
  4. 27
  5. 66
  6. 12
  7. 625
  8. 11
  9. 16
  10. 27
  11. 11
  12. 19
  13. 20
  14. 10
  15. 30
  16. 27
  17. 12
  18. 5
  19. 32
  20. 12
  21. 1
  22. 14
  23. 5
  24. 11
  25. 500
  26. 7
  27. 10
  28. 140
  29. 9
  30. 1
  31. 60
  32. 32
  33. 9
  34. 6
  35. 4
  36. 1
  37. 27
  38. 20
  39. 4
  40. 14

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