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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 325 · 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.Two trains, 70 m and 140 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  2. 2.Two trains, 120 m and 55 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?
  3. 3.Two trains, 80 m and 220 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?
  4. 4.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A boat goes at 16 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?
  7. 7.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 200 m and 205 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?
  9. 9.Two trains, 110 m and 50 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?
  10. 10.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?
  11. 11.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?
  12. 12.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.Two trains, 170 m and 160 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?
  15. 15.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  17. 17.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 60 m and 345 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?
  19. 19.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  20. 20.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  21. 21.Two trains, 80 m and 220 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?
  22. 22.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 52 km upstream and come back?
  23. 23.Two trains, 120 m and 80 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?
  24. 24.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 90 m and 150 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?
  27. 27.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 63 km upstream and come back?
  29. 29.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  30. 30.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  31. 31.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 64 km upstream and come back?
  33. 33.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  34. 34.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  37. 37.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  38. 38.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  40. 40.Two trains, 90 m and 160 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?

Answer key

  1. 6
  2. 7
  3. 12
  4. 16
  5. 17
  6. 16
  7. 14
  8. 9
  9. 8
  10. 18
  11. 38
  12. 13
  13. 10
  14. 11
  15. 2
  16. 225
  17. 19
  18. 9
  19. 10
  20. 20
  21. 10
  22. 56
  23. 4
  24. 20
  25. 17
  26. 6
  27. 14
  28. 24
  29. 9
  30. 15
  31. 11
  32. 36
  33. 33
  34. 18
  35. 5
  36. 32
  37. 39
  38. 2
  39. 19
  40. 10

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