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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 242 · 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 running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  2. 2.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)?
  3. 3.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  4. 4.A boat goes at 6 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?
  5. 5.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  7. 7.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 32 km upstream and come back?
  9. 9.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 9 km upstream and come back?
  11. 11.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  12. 12.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  13. 13.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  14. 14.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  15. 15.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 68 km upstream and come back?
  16. 16.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  17. 17.Two trains, 150 m and 60 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?
  18. 18.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 52 km upstream and come back?
  20. 20.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  21. 21.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  23. 23.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  24. 24.Two trains, 150 m and 75 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?
  25. 25.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 72 km upstream and come back?
  27. 27.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 81 km upstream and come back?
  28. 28.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  29. 29.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  30. 30.Two trains, 230 m and 85 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?
  31. 31.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  32. 32.Two trains, 100 m and 215 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?
  33. 33.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.Two trains, 160 m and 380 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?
  37. 37.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 270
  2. 17
  3. 18
  4. 30
  5. 1
  6. 30
  7. 5
  8. 12
  9. 27
  10. 4
  11. 20
  12. 13
  13. 19
  14. 20
  15. 36
  16. 650
  17. 6
  18. 14
  19. 28
  20. 32
  21. 4
  22. 300
  23. 17
  24. 5
  25. 11
  26. 9
  27. 36
  28. 33
  29. 25
  30. 7
  31. 40
  32. 9
  33. 9
  34. 19
  35. 9
  36. 12
  37. 17
  38. 1
  39. 24
  40. 16

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