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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 483 · 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 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  3. 3.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  5. 5.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.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?
  9. 9.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 100 km upstream and come back?
  10. 10.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  11. 11.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.Two trains, 130 m and 110 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?
  13. 13.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  14. 14.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  15. 15.A boat goes 48 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  18. 18.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  23. 23.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  26. 26.Two trains, 60 m and 150 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?
  27. 27.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  28. 28.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  30. 30.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  32. 32.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  33. 33.Two trains, 80 m and 130 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?
  34. 34.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  35. 35.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 84 km upstream and come back?
  36. 36.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  37. 37.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  38. 38.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  39. 39.Two trains, 100 m and 50 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?
  40. 40.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 13
  2. 16
  3. 12
  4. 13
  5. 5
  6. 3
  7. 7
  8. 40
  9. 15
  10. 13
  11. 1
  12. 8
  13. 35
  14. 25
  15. 14
  16. 525
  17. 14
  18. 1
  19. 2
  20. 21
  21. 6
  22. 300
  23. 10
  24. 24
  25. 24
  26. 6
  27. 120
  28. 5
  29. 175
  30. 26
  31. 26
  32. 27
  33. 6
  34. 12
  35. 27
  36. 14
  37. 31
  38. 17
  39. 6
  40. 22

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