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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 795 · 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 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  5. 5.Two trains, 120 m and 265 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?
  6. 6.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  8. 8.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  11. 11.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  12. 12.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  14. 14.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  16. 16.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  18. 18.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  19. 19.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 60 m and 90 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?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  22. 22.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  23. 23.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  25. 25.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  27. 27.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  29. 29.Two trains, 120 m and 120 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?
  30. 30.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  31. 31.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  32. 32.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  33. 33.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 84 km upstream and come back?
  36. 36.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?
  37. 37.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.Two trains, 130 m and 270 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?
  39. 39.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?

Answer key

  1. 9
  2. 20
  3. 5
  4. 24
  5. 11
  6. 7
  7. 175
  8. 5
  9. 21
  10. 240
  11. 36
  12. 12
  13. 17
  14. 26
  15. 21
  16. 29
  17. 28
  18. 19
  19. 5
  20. 6
  21. 44
  22. 25
  23. 2
  24. 15
  25. 7
  26. 17
  27. 12
  28. 28
  29. 8
  30. 29
  31. 40
  32. 29
  33. 2
  34. 5
  35. 48
  36. 7
  37. 1
  38. 10
  39. 200
  40. 140

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