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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 859 · 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 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.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?
  3. 3.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 40 km upstream and come back?
  4. 4.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  6. 6.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  7. 7.Two trains, 110 m and 295 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?
  8. 8.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  11. 11.Two trains, 70 m and 480 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  12. 12.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  13. 13.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  14. 14.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  15. 15.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.Two trains, 130 m and 230 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?
  19. 19.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  20. 20.Two trains, 130 m and 350 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?
  21. 21.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  22. 22.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  24. 24.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  25. 25.Two trains, 230 m and 250 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?
  26. 26.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  27. 27.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  29. 29.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  31. 31.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?
  32. 32.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  33. 33.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  36. 36.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 220 m and 130 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?
  40. 40.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 90 km upstream and come back?

Answer key

  1. 23
  2. 14
  3. 25
  4. 9
  5. 38
  6. 700
  7. 9
  8. 29
  9. 7
  10. 20
  11. 11
  12. 33
  13. 375
  14. 32
  15. 30
  16. 6
  17. 9
  18. 12
  19. 16
  20. 12
  21. 32
  22. 325
  23. 18
  24. 30
  25. 12
  26. 21
  27. 27
  28. 19
  29. 14
  30. 24
  31. 12
  32. 250
  33. 4
  34. 9
  35. 18
  36. 22
  37. 25
  38. 1
  39. 10
  40. 28

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