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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 972 · 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.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  3. 3.A boat goes 100 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  5. 5.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  6. 6.Two trains, 90 m and 160 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 train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  8. 8.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  9. 9.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  10. 10.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  12. 12.Two trains, 70 m and 110 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?
  13. 13.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  14. 14.A train 475 m long runs at 90 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 cross a platform 125 m long?
  16. 16.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  18. 18.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  19. 19.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  20. 20.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.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?
  22. 22.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  23. 23.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  24. 24.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 90 m and 150 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?
  27. 27.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.Two trains, 170 m and 370 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?
  31. 31.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  32. 32.Two trains, 170 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?
  33. 33.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  34. 34.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  35. 35.Two trains, 80 m and 305 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  36. 36.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.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)?
  40. 40.Two trains, 240 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?

Answer key

  1. 13
  2. 12
  3. 4
  4. 28
  5. 9
  6. 10
  7. 540
  8. 14
  9. 400
  10. 14
  11. 24
  12. 6
  13. 350
  14. 19
  15. 15
  16. 18
  17. 30
  18. 41
  19. 90
  20. 27
  21. 18
  22. 330
  23. 600
  24. 22
  25. 15
  26. 12
  27. 12
  28. 18
  29. 11
  30. 12
  31. 29
  32. 12
  33. 21
  34. 38
  35. 11
  36. 20
  37. 3
  38. 7
  39. 4
  40. 10

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