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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 159 · 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 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  3. 3.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  6. 6.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 120 km upstream and come back?
  8. 8.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 45 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)?
  10. 10.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 36 km upstream and come back?
  11. 11.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  12. 12.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  16. 16.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 39 km upstream and come back?
  18. 18.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 60 km upstream and come back?
  20. 20.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  22. 22.Two trains, 110 m and 160 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?
  23. 23.Two trains, 250 m and 245 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?
  24. 24.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)?
  25. 25.Two trains, 80 m and 190 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?
  26. 26.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  27. 27.Two trains, 90 m and 60 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?
  28. 28.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.Two trains, 150 m and 70 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?
  31. 31.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  33. 33.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  34. 34.Two trains, 60 m and 360 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?
  35. 35.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  37. 37.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  38. 38.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  39. 39.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  40. 40.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?

Answer key

  1. 13
  2. 28
  3. 4
  4. 5
  5. 16
  6. 18
  7. 70
  8. 9
  9. 7
  10. 8
  11. 105
  12. 12
  13. 9
  14. 1
  15. 36
  16. 190
  17. 40
  18. 12
  19. 17
  20. 17
  21. 10
  22. 9
  23. 11
  24. 1
  25. 9
  26. 28
  27. 5
  28. 10
  29. 10
  30. 11
  31. 5
  32. 10
  33. 29
  34. 12
  35. 14
  36. 250
  37. 41
  38. 21
  39. 575
  40. 50

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