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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 734 · 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, 150 m and 330 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?
  2. 2.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  3. 3.Two trains, 60 m and 480 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?
  4. 4.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  6. 6.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  7. 7.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  8. 8.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  9. 9.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  10. 10.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 56 km upstream and come back?
  12. 12.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  15. 15.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  17. 17.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  18. 18.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  20. 20.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  23. 23.Two trains, 50 m and 400 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?
  24. 24.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 24 km upstream and come back?
  25. 25.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  28. 28.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  31. 31.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  32. 32.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  33. 33.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  36. 36.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  37. 37.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  38. 38.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 16 km upstream and come back?
  39. 39.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.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?

Answer key

  1. 12
  2. 29
  3. 12
  4. 18
  5. 27
  6. 700
  7. 13
  8. 405
  9. 400
  10. 21
  11. 16
  12. 23
  13. 3
  14. 15
  15. 4
  16. 17
  17. 27
  18. 150
  19. 21
  20. 20
  21. 7
  22. 450
  23. 10
  24. 10
  25. 15
  26. 360
  27. 18
  28. 18
  29. 13
  30. 28
  31. 25
  32. 34
  33. 15
  34. 29
  35. 400
  36. 230
  37. 18
  38. 9
  39. 9
  40. 20

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