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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 572 · 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, 190 m and 50 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?
  2. 2.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  3. 3.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  4. 4.Two trains, 90 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?
  5. 5.Two trains, 50 m and 70 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?
  6. 6.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  7. 7.Two trains, 140 m and 190 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?
  8. 8.Two trains, 230 m and 320 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?
  9. 9.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  10. 10.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 108 km upstream and come back?
  13. 13.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  14. 14.Two trains, 190 m and 260 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?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  16. 16.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?
  17. 17.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  18. 18.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.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 88 km upstream and come back?
  20. 20.Two trains, 60 m and 90 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?
  21. 21.Two trains, 60 m and 100 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?
  22. 22.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 90 m and 240 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?
  27. 27.Two trains, 150 m and 90 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?
  28. 28.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 99 km upstream and come back?
  29. 29.Two trains, 170 m and 105 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?
  30. 30.A boat goes 48 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  33. 33.Two trains, 110 m and 250 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?
  34. 34.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.Two trains, 60 m and 300 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?
  39. 39.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.Two trains, 100 m and 230 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?

Answer key

  1. 6
  2. 125
  3. 33
  4. 7
  5. 6
  6. 255
  7. 11
  8. 11
  9. 9
  10. 15
  11. 19
  12. 45
  13. 700
  14. 10
  15. 29
  16. 13
  17. 31
  18. 29
  19. 96
  20. 5
  21. 4
  22. 7
  23. 3
  24. 19
  25. 24
  26. 11
  27. 8
  28. 36
  29. 11
  30. 14
  31. 22
  32. 26
  33. 12
  34. 11
  35. 27
  36. 20
  37. 11
  38. 8
  39. 14
  40. 11

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