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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 701 · 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 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  2. 2.Two trains, 200 m and 115 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?
  3. 3.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.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?
  5. 5.Two trains, 130 m and 110 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?
  6. 6.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  7. 7.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 92 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)?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  10. 10.Two trains, 60 m and 420 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?
  11. 11.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  12. 12.Two trains, 140 m and 280 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?
  13. 13.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  14. 14.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  15. 15.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  17. 17.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 130 m and 80 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?
  20. 20.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  22. 22.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  23. 23.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  24. 24.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.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 36 km upstream and come back?
  26. 26.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  27. 27.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  28. 28.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  29. 29.A boat goes 26 km downstream in 2 hours and 18 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 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  32. 32.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 72 km upstream and come back?
  35. 35.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 105 km upstream and come back?
  37. 37.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  38. 38.Two trains, 210 m and 70 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?
  39. 39.Two trains, 60 m and 300 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?
  40. 40.Two trains, 60 m and 300 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?

Answer key

  1. 39
  2. 9
  3. 8
  4. 13
  5. 12
  6. 39
  7. 22
  8. 19
  9. 14
  10. 12
  11. 350
  12. 12
  13. 13
  14. 23
  15. 4
  16. 20
  17. 18
  18. 26
  19. 6
  20. 4
  21. 11
  22. 14
  23. 325
  24. 20
  25. 15
  26. 37
  27. 120
  28. 21
  29. 11
  30. 15
  31. 17
  32. 9
  33. 500
  34. 20
  35. 20
  36. 20
  37. 23
  38. 8
  39. 9
  40. 8

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