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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 208 · 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 at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 108 km upstream and come back?
  2. 2.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  7. 7.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  8. 8.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  9. 9.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  10. 10.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  11. 11.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 120 km upstream and come back?
  12. 12.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  13. 13.Two trains, 70 m and 130 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?
  14. 14.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  15. 15.Two trains, 180 m and 170 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?
  16. 16.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 150 m and 125 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?
  20. 20.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  22. 22.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.Two trains, 110 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?
  24. 24.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 12 km upstream and come back?
  26. 26.A boat goes 60 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)?
  27. 27.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?
  28. 28.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  29. 29.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  31. 31.Two trains, 80 m and 120 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?
  32. 32.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  33. 33.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  34. 34.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  35. 35.Two trains, 70 m and 180 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?
  36. 36.Two trains, 100 m and 80 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.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  38. 38.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  39. 39.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  40. 40.Two trains, 120 m and 160 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?

Answer key

  1. 120
  2. 28
  3. 2
  4. 14
  5. 8
  6. 24
  7. 575
  8. 36
  9. 26
  10. 41
  11. 20
  12. 16
  13. 5
  14. 25
  15. 10
  16. 3
  17. 5
  18. 23
  19. 11
  20. 1
  21. 200
  22. 6
  23. 11
  24. 5
  25. 7
  26. 13
  27. 15
  28. 250
  29. 25
  30. 200
  31. 8
  32. 33
  33. 6
  34. 37
  35. 10
  36. 6
  37. 240
  38. 14
  39. 28
  40. 7

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