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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 584 · 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, 60 m and 255 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  2. 2.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 50 m and 175 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?
  5. 5.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  7. 7.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  8. 8.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 60 km upstream and come back?
  10. 10.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  11. 11.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  12. 12.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 110 km upstream and come back?
  15. 15.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 75 km upstream and come back?
  17. 17.Two trains, 100 m and 110 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?
  18. 18.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  19. 19.Two trains, 160 m and 200 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  20. 20.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 45 km upstream and come back?
  22. 22.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 96 km upstream and come back?
  23. 23.A boat goes 30 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  25. 25.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 50 m and 125 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?
  28. 28.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  29. 29.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  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 84 km upstream and come back?
  31. 31.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  34. 34.Two trains, 110 m and 65 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?
  35. 35.Two trains, 200 m and 50 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?
  36. 36.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 90 km upstream and come back?
  37. 37.Two trains, 60 m and 190 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?
  38. 38.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 33 km upstream and come back?
  39. 39.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  40. 40.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 9
  2. 3
  3. 10
  4. 9
  5. 450
  6. 10
  7. 17
  8. 130
  9. 17
  10. 23
  11. 27
  12. 29
  13. 440
  14. 120
  15. 16
  16. 30
  17. 7
  18. 16
  19. 9
  20. 5
  21. 50
  22. 60
  23. 5
  24. 23
  25. 29
  26. 6
  27. 7
  28. 17
  29. 9
  30. 21
  31. 20
  32. 500
  33. 150
  34. 7
  35. 10
  36. 24
  37. 10
  38. 34
  39. 725
  40. 26

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