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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 206 · 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 500 m long runs at 90 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 22 seconds. How long is the train (in metres)?
  3. 3.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  4. 4.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 160 m and 190 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?
  6. 6.Two trains, 70 m and 230 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 boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  8. 8.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  9. 9.Two trains, 80 m and 460 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?
  10. 10.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  11. 11.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  12. 12.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  14. 14.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  15. 15.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.Two trains, 230 m and 130 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?
  21. 21.Two trains, 60 m and 180 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?
  22. 22.A boat goes at 7 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 running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  24. 24.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  27. 27.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 27 km upstream and come back?
  28. 28.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  29. 29.Two trains, 70 m and 280 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?
  30. 30.A boat goes 45 km downstream in 3 hours and 27 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 24 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  33. 33.Two trains, 220 m and 60 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?
  34. 34.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  35. 35.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.Two trains, 160 m and 110 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?
  37. 37.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?
  38. 38.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  39. 39.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  40. 40.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 20
  2. 550
  3. 750
  4. 13
  5. 7
  6. 12
  7. 20
  8. 25
  9. 12
  10. 140
  11. 450
  12. 15
  13. 460
  14. 37
  15. 30
  16. 19
  17. 25
  18. 7
  19. 8
  20. 9
  21. 8
  22. 35
  23. 190
  24. 12
  25. 16
  26. 40
  27. 12
  28. 31
  29. 7
  30. 3
  31. 240
  32. 12
  33. 8
  34. 26
  35. 15
  36. 9
  37. 11
  38. 18
  39. 38
  40. 3

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