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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 209 · 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 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  3. 3.Two trains, 80 m and 190 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?
  4. 4.Two trains, 110 m and 90 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?
  5. 5.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  6. 6.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  7. 7.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  8. 8.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  10. 10.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  13. 13.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?
  14. 14.Two trains, 80 m and 120 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?
  15. 15.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  16. 16.A boat goes 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 190 m and 170 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?
  19. 19.A boat goes 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  22. 22.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  23. 23.Two trains, 100 m and 110 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?
  24. 24.Two trains, 100 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?
  25. 25.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  26. 26.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 50 m and 150 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?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  31. 31.A boat goes 33 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)?
  32. 32.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  33. 33.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  34. 34.Two trains, 150 m and 210 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  35. 35.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  39. 39.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  40. 40.Two trains, 120 m and 230 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?

Answer key

  1. 5
  2. 33
  3. 9
  4. 5
  5. 200
  6. 40
  7. 16
  8. 9
  9. 100
  10. 28
  11. 17
  12. 405
  13. 11
  14. 5
  15. 255
  16. 15
  17. 24
  18. 12
  19. 19
  20. 29
  21. 21
  22. 135
  23. 7
  24. 10
  25. 90
  26. 3
  27. 13
  28. 10
  29. 8
  30. 22
  31. 8
  32. 21
  33. 27
  34. 8
  35. 8
  36. 9
  37. 14
  38. 39
  39. 200
  40. 10

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