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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 990 · 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 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  3. 3.A boat goes 68 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 110 km upstream and come back?
  6. 6.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  9. 9.Two trains, 60 m and 270 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?
  10. 10.Two trains, 170 m and 180 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?
  11. 11.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  13. 13.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  14. 14.Two trains, 150 m and 60 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?
  15. 15.Two trains, 170 m and 145 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.Two trains, 130 m and 90 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?
  17. 17.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  18. 18.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  19. 19.Two trains, 170 m and 160 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?
  20. 20.Two trains, 100 m and 145 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?
  21. 21.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 110 km upstream and come back?
  24. 24.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  25. 25.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  26. 26.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  28. 28.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  29. 29.Two trains, 140 m and 210 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?
  30. 30.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  32. 32.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  33. 33.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.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?
  35. 35.Two trains, 70 m and 410 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?
  36. 36.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  39. 39.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  40. 40.A boat goes 20 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)?

Answer key

  1. 2
  2. 24
  3. 13
  4. 19
  5. 60
  6. 24
  7. 10
  8. 8
  9. 11
  10. 10
  11. 12
  12. 150
  13. 345
  14. 6
  15. 9
  16. 11
  17. 31
  18. 225
  19. 11
  20. 7
  21. 2
  22. 6
  23. 66
  24. 200
  25. 30
  26. 2
  27. 24
  28. 140
  29. 10
  30. 6
  31. 27
  32. 16
  33. 16
  34. 13
  35. 12
  36. 7
  37. 5
  38. 500
  39. 300
  40. 9

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