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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 505 · 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 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  2. 2.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  4. 4.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  5. 5.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  6. 6.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 150 m and 210 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?
  8. 8.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  10. 10.Two trains, 130 m and 50 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?
  11. 11.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  12. 12.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  13. 13.Two trains, 140 m and 175 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?
  14. 14.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  16. 16.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  17. 17.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  19. 19.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  20. 20.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  21. 21.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 80 m and 200 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?
  25. 25.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  27. 27.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.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 35 km upstream and come back?
  29. 29.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 70 km upstream and come back?
  30. 30.Two trains, 160 m and 200 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?
  31. 31.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 60 km upstream and come back?
  32. 32.A boat goes 44 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)?
  33. 33.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  35. 35.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  36. 36.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  40. 40.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?

Answer key

  1. 17
  2. 24
  3. 45
  4. 625
  5. 220
  6. 25
  7. 12
  8. 5
  9. 540
  10. 6
  11. 10
  12. 28
  13. 7
  14. 16
  15. 25
  16. 17
  17. 9
  18. 34
  19. 30
  20. 150
  21. 210
  22. 22
  23. 5
  24. 8
  25. 12
  26. 300
  27. 4
  28. 12
  29. 16
  30. 12
  31. 18
  32. 8
  33. 29
  34. 29
  35. 11
  36. 4
  37. 14
  38. 6
  39. 8
  40. 13

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