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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 992 · 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 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  4. 4.Two trains, 140 m and 60 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  5. 5.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  6. 6.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  8. 8.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  9. 9.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  10. 10.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.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 8 km upstream and come back?
  12. 12.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  14. 14.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.Two trains, 130 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?
  17. 17.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  18. 18.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  19. 19.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 70 m and 170 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?
  21. 21.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.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 31 km upstream and come back?
  23. 23.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  24. 24.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.Two trains, 220 m and 180 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  26. 26.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.Two trains, 210 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?
  28. 28.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  29. 29.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  30. 30.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  32. 32.Two trains, 90 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  33. 33.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  34. 34.Two trains, 100 m and 300 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  35. 35.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  36. 36.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  37. 37.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.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?
  40. 40.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?

Answer key

  1. 17
  2. 9
  3. 27
  4. 5
  5. 28
  6. 14
  7. 22
  8. 38
  9. 150
  10. 21
  11. 5
  12. 26
  13. 27
  14. 8
  15. 3
  16. 9
  17. 35
  18. 40
  19. 25
  20. 12
  21. 10
  22. 32
  23. 150
  24. 75
  25. 10
  26. 8
  27. 11
  28. 42
  29. 580
  30. 23
  31. 120
  32. 8
  33. 22
  34. 10
  35. 19
  36. 41
  37. 11
  38. 5
  39. 18
  40. 29

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