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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 936 · 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 running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  2. 2.Two trains, 90 m and 185 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?
  3. 3.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  4. 4.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  8. 8.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.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 117 km upstream and come back?
  10. 10.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  12. 12.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?
  13. 13.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 24 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)?
  15. 15.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  16. 16.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  18. 18.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  19. 19.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  20. 20.Two trains, 180 m and 70 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?
  21. 21.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  22. 22.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  23. 23.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  24. 24.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 110 m and 430 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?
  26. 26.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  29. 29.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  33. 33.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  39. 39.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 80 m and 170 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?

Answer key

  1. 280
  2. 11
  3. 41
  4. 30
  5. 28
  6. 9
  7. 25
  8. 12
  9. 52
  10. 550
  11. 14
  12. 18
  13. 24
  14. 8
  15. 25
  16. 23
  17. 25
  18. 50
  19. 175
  20. 10
  21. 30
  22. 19
  23. 140
  24. 20
  25. 12
  26. 2
  27. 14
  28. 15
  29. 22
  30. 21
  31. 190
  32. 17
  33. 5
  34. 16
  35. 25
  36. 23
  37. 18
  38. 230
  39. 14
  40. 10

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