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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 743 · 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 boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 30 km upstream and come back?
  2. 2.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 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 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  4. 4.Two trains, 170 m and 145 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?
  5. 5.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  8. 8.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  9. 9.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  10. 10.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  13. 13.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  14. 14.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  17. 17.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 150 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?
  20. 20.Two trains, 200 m and 70 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?
  21. 21.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  22. 22.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  24. 24.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  25. 25.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  26. 26.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  27. 27.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  28. 28.Two trains, 90 m and 130 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  29. 29.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  31. 31.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  33. 33.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  35. 35.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  38. 38.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  40. 40.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 8
  2. 6
  3. 15
  4. 9
  5. 24
  6. 16
  7. 30
  8. 18
  9. 120
  10. 14
  11. 16
  12. 28
  13. 750
  14. 25
  15. 1
  16. 460
  17. 3
  18. 27
  19. 11
  20. 9
  21. 20
  22. 180
  23. 50
  24. 40
  25. 24
  26. 8
  27. 240
  28. 11
  29. 24
  30. 30
  31. 11
  32. 31
  33. 6
  34. 31
  35. 14
  36. 17
  37. 29
  38. 1
  39. 345
  40. 10

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