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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 451 · 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 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  2. 2.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  6. 6.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  8. 8.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 108 km upstream and come back?
  9. 9.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 70 km upstream and come back?
  10. 10.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  11. 11.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  12. 12.Two trains, 70 m and 245 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 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  15. 15.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  16. 16.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  17. 17.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.Two trains, 90 m and 350 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?
  19. 19.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  21. 21.Two trains, 120 m and 160 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?
  22. 22.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.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?
  24. 24.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  25. 25.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  26. 26.Two trains, 60 m and 360 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?
  27. 27.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 66 km upstream and come back?
  28. 28.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  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 56 km upstream and come back?
  30. 30.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 240 m and 165 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?
  33. 33.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  34. 34.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.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 72 km upstream and come back?
  36. 36.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?
  37. 37.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  38. 38.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 32
  2. 7
  3. 7
  4. 18
  5. 35
  6. 19
  7. 26
  8. 112
  9. 24
  10. 30
  11. 290
  12. 9
  13. 5
  14. 34
  15. 420
  16. 31
  17. 20
  18. 11
  19. 3
  20. 13
  21. 8
  22. 5
  23. 10
  24. 20
  25. 400
  26. 12
  27. 72
  28. 160
  29. 18
  30. 17
  31. 4
  32. 9
  33. 190
  34. 26
  35. 30
  36. 36
  37. 35
  38. 23
  39. 4
  40. 24

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