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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 543 · 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 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  2. 2.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  4. 4.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  5. 5.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  8. 8.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.Two trains, 110 m and 100 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?
  11. 11.Two trains, 120 m and 160 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?
  12. 12.Two trains, 100 m and 170 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?
  13. 13.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  15. 15.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  17. 17.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 33 km upstream and come back?
  18. 18.Two trains, 80 m and 305 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?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 10 km upstream and come back?
  20. 20.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  21. 21.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 60 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?
  25. 25.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  27. 27.A boat goes 54 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.Two trains, 250 m and 50 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  30. 30.Two trains, 150 m and 255 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?
  31. 31.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  33. 33.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 70 m and 110 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?
  35. 35.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  36. 36.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  37. 37.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 18 km upstream and come back?
  38. 38.Two trains, 60 m and 80 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?
  39. 39.A boat goes 28 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)?
  40. 40.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?

Answer key

  1. 12
  2. 9
  3. 45
  4. 26
  5. 9
  6. 4
  7. 21
  8. 12
  9. 14
  10. 6
  11. 7
  12. 9
  13. 2
  14. 15
  15. 20
  16. 190
  17. 36
  18. 11
  19. 6
  20. 345
  21. 17
  22. 5
  23. 11
  24. 4
  25. 9
  26. 50
  27. 2
  28. 13
  29. 6
  30. 9
  31. 5
  32. 75
  33. 2
  34. 4
  35. 220
  36. 35
  37. 10
  38. 4
  39. 10
  40. 270

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