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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 856 · 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 90 km/h. How many seconds does it take to cross a platform 225 m long?
  2. 2.Two trains, 120 m and 55 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 train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  4. 4.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 70 m and 150 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?
  7. 7.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 60 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?
  11. 11.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  12. 12.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.Two trains, 120 m and 60 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.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  18. 18.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 26 km upstream and come back?
  19. 19.Two trains, 80 m and 120 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?
  20. 20.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.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)?
  24. 24.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  25. 25.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  26. 26.Two trains, 60 m and 100 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?
  27. 27.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  28. 28.A boat goes 66 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)?
  29. 29.Two trains, 80 m and 130 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?
  30. 30.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  34. 34.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 63 km upstream and come back?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  36. 36.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?
  37. 37.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  38. 38.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  39. 39.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

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

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