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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 821 · 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 boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  5. 5.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  6. 6.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 160 m and 320 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  11. 11.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?
  12. 12.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  13. 13.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  16. 16.Two trains, 80 m and 190 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?
  17. 17.Two trains, 250 m and 190 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  19. 19.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  21. 21.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  22. 22.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  24. 24.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  27. 27.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 120 km upstream and come back?
  28. 28.A boat goes 68 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)?
  29. 29.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 20 km upstream and come back?
  30. 30.Two trains, 210 m and 120 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?
  31. 31.A boat goes at 10 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?
  32. 32.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  33. 33.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 110 km upstream and come back?
  35. 35.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  36. 36.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?
  37. 37.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  38. 38.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?
  39. 39.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 60 km upstream and come back?
  40. 40.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 2
  2. 23
  3. 1
  4. 150
  5. 420
  6. 22
  7. 20
  8. 21
  9. 23
  10. 12
  11. 6
  12. 30
  13. 21
  14. 1
  15. 13
  16. 9
  17. 11
  18. 22
  19. 5
  20. 180
  21. 33
  22. 22
  23. 31
  24. 19
  25. 15
  26. 24
  27. 45
  28. 16
  29. 3
  30. 11
  31. 15
  32. 20
  33. 540
  34. 120
  35. 260
  36. 16
  37. 23
  38. 12
  39. 36
  40. 21

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