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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 706 · 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 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  2. 2.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  3. 3.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  4. 4.Two trains, 180 m and 180 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?
  5. 5.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 80 m and 130 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, 130 m and 255 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?
  10. 10.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  11. 11.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 90 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  14. 14.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 80 m and 280 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?
  16. 16.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  19. 19.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  21. 21.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 16 km upstream and come back?
  22. 22.Two trains, 70 m and 290 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?
  23. 23.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  24. 24.Two trains, 100 m and 215 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?
  25. 25.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  26. 26.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  27. 27.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  28. 28.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 84 km upstream and come back?
  30. 30.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  31. 31.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  32. 32.Two trains, 190 m and 160 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?
  33. 33.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 130 m and 120 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?
  35. 35.Two trains, 50 m and 150 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?
  36. 36.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  39. 39.A boat goes 72 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)?
  40. 40.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?

Answer key

  1. 33
  2. 37
  3. 11
  4. 9
  5. 2
  6. 3
  7. 19
  8. 7
  9. 11
  10. 24
  11. 5
  12. 26
  13. 4
  14. 2
  15. 9
  16. 12
  17. 18
  18. 330
  19. 5
  20. 30
  21. 10
  22. 8
  23. 28
  24. 9
  25. 8
  26. 100
  27. 225
  28. 175
  29. 27
  30. 420
  31. 30
  32. 10
  33. 7
  34. 10
  35. 10
  36. 10
  37. 12
  38. 26
  39. 16
  40. 25

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