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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 661 · 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 60 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)?
  2. 2.Two trains, 230 m and 50 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 48 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  5. 5.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  11. 11.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  12. 12.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  13. 13.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  17. 17.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  18. 18.Two trains, 90 m and 90 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?
  19. 19.Two trains, 120 m and 120 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?
  20. 20.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  21. 21.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  22. 22.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 90 km upstream and come back?
  25. 25.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  28. 28.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  30. 30.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  32. 32.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 70 m and 170 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?
  34. 34.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 39 km upstream and come back?
  40. 40.Two trains, 60 m and 190 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?

Answer key

  1. 15
  2. 7
  3. 2
  4. 16
  5. 19
  6. 8
  7. 20
  8. 27
  9. 10
  10. 175
  11. 70
  12. 110
  13. 8
  14. 11
  15. 4
  16. 29
  17. 450
  18. 9
  19. 8
  20. 75
  21. 27
  22. 25
  23. 3
  24. 48
  25. 6
  26. 4
  27. 480
  28. 5
  29. 27
  30. 7
  31. 24
  32. 7
  33. 12
  34. 6
  35. 11
  36. 9
  37. 5
  38. 240
  39. 42
  40. 10

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