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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 184 · 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 boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  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 running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  4. 4.Two trains, 60 m and 120 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?
  5. 5.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  6. 6.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  7. 7.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  9. 9.Two trains, 70 m and 170 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?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  11. 11.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  12. 12.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  13. 13.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  17. 17.Two trains, 60 m and 80 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?
  18. 18.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  19. 19.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 80 m and 220 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?
  21. 21.Two trains, 50 m and 175 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?
  22. 22.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  23. 23.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  27. 27.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 36 km upstream and come back?
  28. 28.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  31. 31.Two trains, 80 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?
  32. 32.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  34. 34.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  36. 36.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  40. 40.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?

Answer key

  1. 35
  2. 180
  3. 135
  4. 6
  5. 32
  6. 29
  7. 23
  8. 22
  9. 8
  10. 9
  11. 60
  12. 290
  13. 2
  14. 17
  15. 7
  16. 190
  17. 7
  18. 39
  19. 3
  20. 12
  21. 9
  22. 35
  23. 7
  24. 16
  25. 17
  26. 43
  27. 8
  28. 1
  29. 14
  30. 380
  31. 6
  32. 360
  33. 32
  34. 10
  35. 24
  36. 12
  37. 12
  38. 30
  39. 40
  40. 27

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