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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 828 · 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 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.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 60 km upstream and come back?
  3. 3.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 90 m and 260 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?
  6. 6.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  7. 7.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  9. 9.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  10. 10.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  13. 13.Two trains, 60 m and 360 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?
  14. 14.Two trains, 120 m and 90 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?
  15. 15.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  18. 18.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  19. 19.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  22. 22.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  23. 23.Two trains, 80 m and 340 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?
  24. 24.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 51 km upstream and come back?
  25. 25.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)?
  26. 26.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  27. 27.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  28. 28.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  29. 29.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  30. 30.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  31. 31.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 32 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)?
  34. 34.Two trains, 120 m and 300 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.Two trains, 50 m and 70 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?
  36. 36.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  37. 37.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  38. 38.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  39. 39.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  40. 40.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?

Answer key

  1. 25
  2. 25
  3. 20
  4. 15
  5. 10
  6. 210
  7. 5
  8. 22
  9. 24
  10. 2
  11. 8
  12. 15
  13. 12
  14. 7
  15. 10
  16. 100
  17. 17
  18. 23
  19. 25
  20. 9
  21. 42
  22. 360
  23. 12
  24. 54
  25. 20
  26. 240
  27. 21
  28. 20
  29. 42
  30. 26
  31. 10
  32. 29
  33. 6
  34. 12
  35. 4
  36. 13
  37. 30
  38. 9
  39. 22
  40. 750

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