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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 587 · 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.Two trains, 250 m and 200 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?
  2. 2.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  3. 3.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  4. 4.Two trains, 70 m and 90 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 train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  7. 7.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  9. 9.Two trains, 70 m and 170 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?
  10. 10.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 30 km upstream and come back?
  11. 11.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 160 m and 160 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?
  13. 13.Two trains, 200 m and 220 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?
  14. 14.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  15. 15.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.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?
  17. 17.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  21. 21.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  23. 23.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 92 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  26. 26.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.Two trains, 190 m and 210 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?
  30. 30.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  31. 31.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  36. 36.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  37. 37.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  38. 38.Two trains, 240 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?
  39. 39.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  40. 40.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?

Answer key

  1. 10
  2. 525
  3. 75
  4. 4
  5. 9
  6. 140
  7. 21
  8. 25
  9. 6
  10. 16
  11. 23
  12. 8
  13. 12
  14. 270
  15. 4
  16. 44
  17. 4
  18. 360
  19. 16
  20. 22
  21. 28
  22. 350
  23. 29
  24. 19
  25. 725
  26. 10
  27. 18
  28. 6
  29. 10
  30. 240
  31. 29
  32. 7
  33. 17
  34. 7
  35. 10
  36. 150
  37. 38
  38. 12
  39. 33
  40. 400

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