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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 975 · 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 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  3. 3.Two trains, 230 m and 190 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?
  4. 4.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 27 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)?
  7. 7.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  9. 9.A train 90 m long runs at 54 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 20 seconds. How long is the train (in metres)?
  11. 11.Two trains, 90 m and 120 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?
  12. 12.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  14. 14.Two trains, 110 m and 205 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  15. 15.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  16. 16.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  17. 17.Two trains, 50 m and 190 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?
  18. 18.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  19. 19.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  21. 21.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 100 m and 125 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?
  23. 23.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 105 km upstream and come back?
  27. 27.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 55 km upstream and come back?
  28. 28.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  30. 30.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 90 m and 360 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  32. 32.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  33. 33.Two trains, 150 m and 75 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?
  34. 34.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 28 km upstream and come back?
  35. 35.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  37. 37.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  38. 38.Two trains, 60 m and 220 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?
  39. 39.Two trains, 50 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?
  40. 40.Two trains, 180 m and 120 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?

Answer key

  1. 275
  2. 34
  3. 12
  4. 25
  5. 19
  6. 7
  7. 30
  8. 9
  9. 6
  10. 400
  11. 7
  12. 9
  13. 38
  14. 7
  15. 34
  16. 195
  17. 8
  18. 325
  19. 15
  20. 45
  21. 13
  22. 9
  23. 28
  24. 17
  25. 4
  26. 112
  27. 60
  28. 135
  29. 26
  30. 22
  31. 10
  32. 29
  33. 9
  34. 16
  35. 3
  36. 21
  37. 19
  38. 8
  39. 10
  40. 12

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