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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 47 · 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 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  4. 4.Two trains, 150 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?
  5. 5.Two trains, 50 m and 310 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?
  6. 6.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  8. 8.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  9. 9.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  10. 10.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  12. 12.Two trains, 240 m and 210 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?
  13. 13.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  14. 14.Two trains, 240 m and 120 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?
  15. 15.Two trains, 190 m and 125 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?
  16. 16.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  18. 18.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  19. 19.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 63 km upstream and come back?
  20. 20.Two trains, 160 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?
  21. 21.Two trains, 70 m and 90 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?
  22. 22.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  23. 23.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  25. 25.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  27. 27.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  28. 28.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  29. 29.Two trains, 70 m and 110 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?
  30. 30.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)?
  31. 31.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  32. 32.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  35. 35.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  36. 36.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  38. 38.A boat goes 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  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 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?

Answer key

  1. 28
  2. 230
  3. 250
  4. 11
  5. 12
  6. 19
  7. 33
  8. 29
  9. 17
  10. 5
  11. 25
  12. 9
  13. 30
  14. 9
  15. 9
  16. 80
  17. 90
  18. 41
  19. 70
  20. 10
  21. 8
  22. 26
  23. 11
  24. 26
  25. 1
  26. 21
  27. 39
  28. 70
  29. 4
  30. 5
  31. 105
  32. 5
  33. 250
  34. 13
  35. 17
  36. 14
  37. 16
  38. 19
  39. 165
  40. 31

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