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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 91 · 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 running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  2. 2.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  3. 3.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  8. 8.Two trains, 150 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?
  9. 9.Two trains, 190 m and 360 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?
  10. 10.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  12. 12.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  13. 13.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 54 km upstream and come back?
  15. 15.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  16. 16.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  17. 17.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  18. 18.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 70 m and 70 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?
  20. 20.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  21. 21.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.Two trains, 60 m and 165 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?
  23. 23.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 80 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  28. 28.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 90 km upstream and come back?
  29. 29.Two trains, 110 m and 70 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?
  30. 30.Two trains, 50 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?
  31. 31.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  33. 33.Two trains, 80 m and 250 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?
  34. 34.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  36. 36.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)?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  38. 38.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  39. 39.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  40. 40.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 275
  2. 28
  3. 9
  4. 9
  5. 4
  6. 20
  7. 8
  8. 9
  9. 11
  10. 23
  11. 18
  12. 21
  13. 4
  14. 60
  15. 90
  16. 42
  17. 19
  18. 5
  19. 4
  20. 16
  21. 8
  22. 9
  23. 5
  24. 4
  25. 10
  26. 27
  27. 60
  28. 28
  29. 6
  30. 9
  31. 4
  32. 22
  33. 11
  34. 5
  35. 225
  36. 6
  37. 16
  38. 90
  39. 435
  40. 18

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