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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 720 · 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, 80 m and 120 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?
  2. 2.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  3. 3.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 60 m and 420 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?
  6. 6.Two trains, 90 m and 270 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?
  7. 7.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  8. 8.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  10. 10.Two trains, 90 m and 110 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?
  11. 11.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 120 m and 130 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?
  13. 13.Two trains, 90 m and 260 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?
  14. 14.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  17. 17.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  18. 18.Two trains, 60 m and 100 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  19. 19.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  21. 21.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?
  22. 22.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  23. 23.A train 200 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 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  28. 28.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  29. 29.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  30. 30.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  32. 32.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 96 km upstream and come back?
  34. 34.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 110 m and 250 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  36. 36.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  38. 38.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  39. 39.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  40. 40.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?

Answer key

  1. 5
  2. 180
  3. 7
  4. 1
  5. 12
  6. 8
  7. 33
  8. 3
  9. 34
  10. 4
  11. 15
  12. 5
  13. 7
  14. 21
  15. 1
  16. 24
  17. 31
  18. 8
  19. 23
  20. 18
  21. 20
  22. 18
  23. 20
  24. 22
  25. 6
  26. 29
  27. 315
  28. 240
  29. 120
  30. 8
  31. 22
  32. 14
  33. 27
  34. 7
  35. 12
  36. 15
  37. 50
  38. 24
  39. 23
  40. 26

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