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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 337 · 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 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 36 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)?
  3. 3.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  8. 8.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  9. 9.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 110 m and 275 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?
  11. 11.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.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?
  13. 13.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  14. 14.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  15. 15.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  17. 17.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  18. 18.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  20. 20.Two trains, 160 m and 225 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?
  21. 21.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  23. 23.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  24. 24.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  26. 26.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  27. 27.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 100 m and 150 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?
  29. 29.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 39 km upstream and come back?
  30. 30.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 77 km upstream and come back?
  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 99 km upstream and come back?
  32. 32.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  36. 36.Two trains, 150 m and 95 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?
  37. 37.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  38. 38.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  39. 39.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 46 km upstream and come back?
  40. 40.Two trains, 190 m and 250 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 10
  2. 7
  3. 19
  4. 11
  5. 6
  6. 150
  7. 25
  8. 60
  9. 5
  10. 11
  11. 18
  12. 9
  13. 44
  14. 37
  15. 375
  16. 30
  17. 45
  18. 16
  19. 44
  20. 11
  21. 2
  22. 750
  23. 350
  24. 2
  25. 220
  26. 75
  27. 7
  28. 10
  29. 16
  30. 84
  31. 44
  32. 2
  33. 4
  34. 29
  35. 15
  36. 7
  37. 15
  38. 38
  39. 48
  40. 11

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