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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 848 · 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 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 21 km upstream and come back?
  3. 3.Two trains, 50 m and 195 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  4. 4.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  5. 5.Two trains, 90 m and 130 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?
  6. 6.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  7. 7.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  10. 10.Two trains, 200 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?
  11. 11.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  14. 14.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 32 km upstream and come back?
  16. 16.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  17. 17.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 80 m and 250 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?
  20. 20.A boat goes 39 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  22. 22.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  24. 24.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 130 m and 115 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  26. 26.Two trains, 130 m and 200 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?
  27. 27.Two trains, 250 m and 170 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?
  28. 28.Two trains, 80 m and 130 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  30. 30.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  34. 34.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  35. 35.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 12 km upstream and come back?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  38. 38.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  40. 40.Two trains, 60 m and 150 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?

Answer key

  1. 25
  2. 4
  3. 7
  4. 275
  5. 11
  6. 11
  7. 9
  8. 160
  9. 14
  10. 12
  11. 20
  12. 26
  13. 9
  14. 180
  15. 12
  16. 33
  17. 30
  18. 17
  19. 11
  20. 10
  21. 540
  22. 18
  23. 345
  24. 5
  25. 7
  26. 11
  27. 12
  28. 6
  29. 100
  30. 5
  31. 19
  32. 6
  33. 42
  34. 750
  35. 5
  36. 6
  37. 33
  38. 8
  39. 29
  40. 7

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