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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 801 · 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 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 250 m and 100 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?
  7. 7.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  9. 9.Two trains, 50 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?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.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 40 km upstream and come back?
  12. 12.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  13. 13.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  14. 14.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  15. 15.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  17. 17.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.Two trains, 250 m and 110 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?
  19. 19.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  22. 22.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 80 km upstream and come back?
  23. 23.Two trains, 180 m and 65 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?
  24. 24.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  27. 27.Two trains, 100 m and 260 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?
  28. 28.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  29. 29.Two trains, 50 m and 160 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?
  30. 30.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 108 km upstream and come back?
  31. 31.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 64 km upstream and come back?
  32. 32.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  35. 35.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.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 108 km upstream and come back?
  37. 37.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.Two trains, 100 m and 200 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?
  39. 39.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  40. 40.Two trains, 240 m and 75 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?

Answer key

  1. 25
  2. 13
  3. 1
  4. 3
  5. 11
  6. 7
  7. 13
  8. 480
  9. 4
  10. 12
  11. 25
  12. 550
  13. 13
  14. 290
  15. 3
  16. 380
  17. 9
  18. 12
  19. 10
  20. 24
  21. 210
  22. 18
  23. 7
  24. 5
  25. 5
  26. 28
  27. 12
  28. 20
  29. 7
  30. 40
  31. 40
  32. 13
  33. 4
  34. 35
  35. 6
  36. 27
  37. 19
  38. 12
  39. 23
  40. 7

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