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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 286 · 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, 160 m and 320 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?
  2. 2.Two trains, 160 m and 200 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  3. 3.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  7. 7.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.Two trains, 130 m and 90 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?
  9. 9.Two trains, 140 m and 160 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  10. 10.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  11. 11.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  12. 12.Two trains, 190 m and 60 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?
  13. 13.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  14. 14.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  16. 16.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  18. 18.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  20. 20.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  23. 23.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 60 m and 120 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?
  26. 26.A boat goes 80 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 220 m and 165 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  29. 29.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  31. 31.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  32. 32.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  33. 33.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  34. 34.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  35. 35.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.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?
  37. 37.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  39. 39.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?

Answer key

  1. 12
  2. 12
  3. 9
  4. 21
  5. 21
  6. 725
  7. 100
  8. 11
  9. 10
  10. 19
  11. 650
  12. 10
  13. 90
  14. 19
  15. 25
  16. 200
  17. 24
  18. 200
  19. 20
  20. 8
  21. 6
  22. 75
  23. 8
  24. 6
  25. 6
  26. 4
  27. 11
  28. 165
  29. 18
  30. 32
  31. 11
  32. 675
  33. 30
  34. 26
  35. 5
  36. 18
  37. 15
  38. 11
  39. 2
  40. 23

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