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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 28 · 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 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  3. 3.Two trains, 70 m and 50 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?
  4. 4.Two trains, 150 m and 130 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?
  5. 5.Two trains, 70 m and 140 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?
  6. 6.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 50 m and 230 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?
  8. 8.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 23 km upstream and come back?
  10. 10.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  11. 11.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  13. 13.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  15. 15.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  17. 17.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 22 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)?
  20. 20.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  22. 22.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  23. 23.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  24. 24.Two trains, 170 m and 190 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 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  26. 26.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  33. 33.Two trains, 250 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  34. 34.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  35. 35.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  36. 36.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.Two trains, 250 m and 200 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?
  38. 38.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  39. 39.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?
  40. 40.Two trains, 90 m and 85 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?

Answer key

  1. 7
  2. 320
  3. 4
  4. 7
  5. 7
  6. 16
  7. 8
  8. 6
  9. 24
  10. 80
  11. 25
  12. 25
  13. 400
  14. 30
  15. 5
  16. 38
  17. 14
  18. 10
  19. 9
  20. 1
  21. 18
  22. 20
  23. 31
  24. 8
  25. 21
  26. 9
  27. 7
  28. 29
  29. 19
  30. 3
  31. 23
  32. 190
  33. 8
  34. 120
  35. 560
  36. 16
  37. 9
  38. 10
  39. 32
  40. 7

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