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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 235 · 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 train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  3. 3.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 210 m and 60 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?
  5. 5.Two trains, 150 m and 235 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?
  6. 6.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)?
  7. 7.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  8. 8.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  9. 9.Two trains, 190 m and 125 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?
  10. 10.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  11. 11.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  13. 13.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  14. 14.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  15. 15.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  17. 17.Two trains, 50 m and 50 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?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  19. 19.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  20. 20.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  21. 21.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  22. 22.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  23. 23.Two trains, 160 m and 85 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?
  24. 24.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  25. 25.A boat goes 72 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)?
  26. 26.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  27. 27.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 20 km upstream and come back?
  29. 29.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  30. 30.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 12 km upstream and come back?
  31. 31.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)?
  32. 32.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  34. 34.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  36. 36.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  37. 37.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  40. 40.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 30
  2. 32
  3. 26
  4. 9
  5. 11
  6. 5
  7. 35
  8. 500
  9. 9
  10. 15
  11. 11
  12. 8
  13. 17
  14. 31
  15. 17
  16. 7
  17. 4
  18. 16
  19. 420
  20. 130
  21. 29
  22. 20
  23. 7
  24. 250
  25. 16
  26. 40
  27. 7
  28. 6
  29. 17
  30. 3
  31. 3
  32. 3
  33. 40
  34. 9
  35. 16
  36. 35
  37. 9
  38. 15
  39. 300
  40. 29

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