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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 92 · 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 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  2. 2.Two trains, 110 m and 290 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?
  3. 3.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?
  4. 4.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  5. 5.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  6. 6.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 110 m and 130 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?
  8. 8.Two trains, 200 m and 70 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?
  9. 9.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 55 km upstream and come back?
  10. 10.Two trains, 80 m and 95 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?
  11. 11.A boat goes 30 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 405 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 30 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 84 km upstream and come back?
  15. 15.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  16. 16.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 120 km upstream and come back?
  19. 19.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 200 m and 120 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?
  22. 22.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  23. 23.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?
  24. 24.Two trains, 130 m and 80 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?
  25. 25.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  26. 26.Two trains, 100 m and 180 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?
  27. 27.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 130 m and 200 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?
  29. 29.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.Two trains, 50 m and 220 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?
  32. 32.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  33. 33.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 104 km upstream and come back?
  34. 34.Two trains, 230 m and 70 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?
  35. 35.Two trains, 200 m and 250 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?
  36. 36.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 22 km upstream and come back?
  37. 37.A boat goes 72 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)?
  38. 38.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?

Answer key

  1. 180
  2. 10
  3. 8
  4. 44
  5. 125
  6. 10
  7. 8
  8. 6
  9. 16
  10. 5
  11. 10
  12. 27
  13. 600
  14. 40
  15. 31
  16. 15
  17. 6
  18. 24
  19. 1
  20. 12
  21. 8
  22. 39
  23. 16
  24. 7
  25. 23
  26. 8
  27. 5
  28. 11
  29. 250
  30. 11
  31. 6
  32. 40
  33. 30
  34. 10
  35. 10
  36. 24
  37. 14
  38. 13
  39. 29
  40. 540

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