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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 342 · 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 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  6. 6.Two trains, 240 m and 180 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?
  7. 7.A train 60 m long runs at 36 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 18 seconds. How long is the train (in metres)?
  9. 9.A boat goes 51 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)?
  10. 10.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  11. 11.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  12. 12.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 72 km upstream and come back?
  13. 13.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  14. 14.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.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?
  18. 18.Two trains, 70 m and 245 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?
  19. 19.A boat goes 44 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)?
  20. 20.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 33 km upstream and come back?
  21. 21.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  22. 22.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  24. 24.Two trains, 70 m and 280 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?
  25. 25.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.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 8 km upstream and come back?
  27. 27.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  28. 28.Two trains, 140 m and 210 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.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)?
  30. 30.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  31. 31.Two trains, 190 m and 85 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?
  32. 32.Two trains, 100 m and 260 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?
  33. 33.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  34. 34.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 80 km upstream and come back?
  35. 35.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  36. 36.A boat goes 60 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)?
  37. 37.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  38. 38.Two trains, 50 m and 225 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?
  39. 39.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 84 km upstream and come back?
  40. 40.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?

Answer key

  1. 1
  2. 9
  3. 22
  4. 29
  5. 22
  6. 12
  7. 6
  8. 360
  9. 15
  10. 27
  11. 23
  12. 30
  13. 30
  14. 27
  15. 20
  16. 1
  17. 10
  18. 9
  19. 8
  20. 36
  21. 29
  22. 12
  23. 230
  24. 10
  25. 80
  26. 3
  27. 750
  28. 7
  29. 5
  30. 11
  31. 11
  32. 9
  33. 24
  34. 48
  35. 250
  36. 10
  37. 22
  38. 11
  39. 16
  40. 30

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