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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 156 · 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 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  2. 2.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  4. 4.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  5. 5.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 220 m and 110 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?
  7. 7.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  9. 9.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  10. 10.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  11. 11.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 14 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?
  14. 14.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 26 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)?
  16. 16.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  17. 17.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  18. 18.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  19. 19.Two trains, 140 m and 175 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?
  20. 20.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  21. 21.Two trains, 220 m and 165 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.Two trains, 60 m and 140 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?
  23. 23.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  24. 24.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  26. 26.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  28. 28.Two trains, 240 m and 200 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?
  29. 29.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  32. 32.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  34. 34.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 38 km upstream and come back?
  37. 37.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  39. 39.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 15
  2. 29
  3. 35
  4. 36
  5. 18
  6. 11
  7. 5
  8. 180
  9. 44
  10. 27
  11. 11
  12. 220
  13. 14
  14. 24
  15. 12
  16. 60
  17. 32
  18. 240
  19. 9
  20. 17
  21. 11
  22. 8
  23. 15
  24. 11
  25. 360
  26. 10
  27. 15
  28. 11
  29. 6
  30. 22
  31. 460
  32. 15
  33. 14
  34. 27
  35. 540
  36. 40
  37. 9
  38. 9
  39. 11
  40. 7

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