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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 69 · 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 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  2. 2.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.Two trains, 100 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?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  5. 5.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  9. 9.Two trains, 50 m and 190 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?
  10. 10.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  13. 13.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  15. 15.Two trains, 100 m and 145 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?
  16. 16.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  19. 19.Two trains, 230 m and 250 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?
  20. 20.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  21. 21.Two trains, 100 m and 60 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?
  22. 22.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  24. 24.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 80 m and 120 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?
  29. 29.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 116 km upstream and come back?
  30. 30.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?
  31. 31.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  33. 33.A boat goes at 13 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?
  34. 34.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  36. 36.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  37. 37.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 100 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?
  39. 39.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?

Answer key

  1. 30
  2. 460
  3. 10
  4. 16
  5. 20
  6. 9
  7. 2
  8. 8
  9. 12
  10. 3
  11. 14
  12. 500
  13. 30
  14. 18
  15. 7
  16. 6
  17. 25
  18. 675
  19. 12
  20. 420
  21. 4
  22. 23
  23. 425
  24. 1
  25. 9
  26. 18
  27. 6
  28. 10
  29. 120
  30. 18
  31. 18
  32. 12
  33. 13
  34. 17
  35. 40
  36. 200
  37. 5
  38. 9
  39. 15
  40. 28

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