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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 264 · 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, 60 m and 180 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?
  2. 2.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.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?
  5. 5.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 80 m and 220 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?
  7. 7.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)?
  8. 8.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  9. 9.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.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?
  11. 11.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.Two trains, 230 m and 130 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?
  15. 15.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  17. 17.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  18. 18.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  19. 19.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  20. 20.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  23. 23.Two trains, 90 m and 260 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?
  24. 24.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  25. 25.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 93 km upstream and come back?
  26. 26.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 64 km upstream and come back?
  28. 28.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.Two trains, 110 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?
  30. 30.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  33. 33.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 110 m and 250 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?
  35. 35.Two trains, 200 m and 200 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?
  36. 36.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 50 m and 310 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?
  38. 38.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  40. 40.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 12
  2. 21
  3. 18
  4. 20
  5. 1
  6. 12
  7. 7
  8. 625
  9. 5
  10. 11
  11. 29
  12. 3
  13. 9
  14. 12
  15. 1
  16. 18
  17. 35
  18. 19
  19. 33
  20. 26
  21. 5
  22. 25
  23. 10
  24. 21
  25. 96
  26. 225
  27. 40
  28. 5
  29. 10
  30. 16
  31. 6
  32. 60
  33. 1
  34. 8
  35. 10
  36. 10
  37. 8
  38. 4
  39. 28
  40. 18

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