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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 783 · 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.Two trains, 150 m and 130 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?
  2. 2.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  3. 3.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  5. 5.Two trains, 200 m and 150 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?
  6. 6.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  7. 7.Two trains, 200 m and 220 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?
  8. 8.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  9. 9.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 18 km upstream and come back?
  11. 11.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 5 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?
  13. 13.Two trains, 140 m and 60 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?
  14. 14.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  18. 18.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?
  19. 19.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  20. 20.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 64 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  23. 23.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  24. 24.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?
  25. 25.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  27. 27.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  28. 28.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  30. 30.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  32. 32.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.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 48 km upstream and come back?
  35. 35.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 90 km upstream and come back?
  36. 36.Two trains, 50 m and 130 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?
  37. 37.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.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 120 km upstream and come back?
  39. 39.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 8
  2. 12
  3. 23
  4. 390
  5. 10
  6. 100
  7. 12
  8. 380
  9. 360
  10. 4
  11. 325
  12. 80
  13. 5
  14. 10
  15. 5
  16. 28
  17. 37
  18. 66
  19. 34
  20. 2
  21. 11
  22. 25
  23. 32
  24. 18
  25. 18
  26. 25
  27. 20
  28. 2
  29. 240
  30. 21
  31. 32
  32. 29
  33. 25
  34. 10
  35. 50
  36. 6
  37. 23
  38. 72
  39. 17
  40. 20

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