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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 6 · 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 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  2. 2.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  5. 5.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  6. 6.Two trains, 110 m and 170 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?
  7. 7.Two trains, 180 m and 205 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?
  8. 8.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  9. 9.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 36 km upstream and come back?
  10. 10.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.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?
  12. 12.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  13. 13.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  15. 15.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  16. 16.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  18. 18.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 190 m and 160 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.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?
  21. 21.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 28 km upstream and come back?
  22. 22.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  23. 23.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  24. 24.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  25. 25.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  26. 26.Two trains, 100 m and 250 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?
  27. 27.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  32. 32.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 110 m and 50 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?
  35. 35.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  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 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 100 m and 125 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 train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  40. 40.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 20
  2. 20
  3. 7
  4. 24
  5. 390
  6. 8
  7. 11
  8. 20
  9. 19
  10. 16
  11. 12
  12. 70
  13. 24
  14. 26
  15. 260
  16. 7
  17. 625
  18. 13
  19. 10
  20. 11
  21. 9
  22. 21
  23. 18
  24. 30
  25. 37
  26. 10
  27. 1
  28. 19
  29. 7
  30. 11
  31. 31
  32. 6
  33. 6
  34. 4
  35. 21
  36. 200
  37. 27
  38. 9
  39. 165
  40. 20

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