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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 317 · 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 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  4. 4.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)?
  5. 5.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  6. 6.Two trains, 100 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?
  7. 7.Two trains, 120 m and 130 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?
  8. 8.Two trains, 140 m and 100 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?
  9. 9.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  10. 10.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  11. 11.Two trains, 90 m and 210 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?
  12. 12.Two trains, 100 m and 170 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?
  13. 13.Two trains, 140 m and 110 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?
  14. 14.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  15. 15.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  17. 17.Two trains, 70 m and 260 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?
  18. 18.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  20. 20.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?
  21. 21.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  22. 22.Two trains, 140 m and 100 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?
  23. 23.Two trains, 240 m and 80 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?
  24. 24.Two trains, 60 m and 300 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?
  25. 25.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  28. 28.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  29. 29.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  31. 31.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 18 km upstream and come back?
  32. 32.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 250 m and 50 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?
  36. 36.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 46 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)?
  38. 38.Two trains, 180 m and 60 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?
  39. 39.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  40. 40.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 2
  2. 26
  3. 31
  4. 1
  5. 260
  6. 8
  7. 10
  8. 6
  9. 40
  10. 120
  11. 10
  12. 9
  13. 10
  14. 30
  15. 3
  16. 290
  17. 11
  18. 315
  19. 20
  20. 10
  21. 225
  22. 8
  23. 8
  24. 8
  25. 16
  26. 18
  27. 20
  28. 14
  29. 6
  30. 13
  31. 8
  32. 21
  33. 18
  34. 7
  35. 12
  36. 16
  37. 19
  38. 12
  39. 460
  40. 16

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