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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 776 · 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, 110 m and 50 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.Two trains, 60 m and 120 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?
  3. 3.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  4. 4.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  5. 5.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 76 km upstream and come back?
  7. 7.Two trains, 130 m and 170 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?
  8. 8.Two trains, 120 m and 230 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?
  9. 9.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  11. 11.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  12. 12.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 100 m and 230 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?
  14. 14.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  17. 17.Two trains, 50 m and 110 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?
  18. 18.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.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?
  20. 20.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  22. 22.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  25. 25.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  26. 26.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  28. 28.Two trains, 60 m and 60 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?
  29. 29.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  30. 30.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  32. 32.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  35. 35.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.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?
  37. 37.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  39. 39.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.Two trains, 70 m and 380 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?

Answer key

  1. 8
  2. 6
  3. 165
  4. 36
  5. 1
  6. 80
  7. 6
  8. 10
  9. 5
  10. 210
  11. 24
  12. 13
  13. 11
  14. 23
  15. 10
  16. 475
  17. 8
  18. 6
  19. 18
  20. 14
  21. 440
  22. 17
  23. 25
  24. 16
  25. 375
  26. 5
  27. 25
  28. 4
  29. 460
  30. 110
  31. 16
  32. 4
  33. 3
  34. 16
  35. 3
  36. 11
  37. 4
  38. 575
  39. 8
  40. 10

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