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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 911 · 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.Two trains, 130 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?
  2. 2.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  3. 3.A boat goes 36 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)?
  4. 4.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  6. 6.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  7. 7.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  8. 8.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  9. 9.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  10. 10.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.Two trains, 120 m and 55 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?
  12. 12.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  14. 14.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 140 m and 130 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?
  16. 16.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  17. 17.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  18. 18.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 114 km upstream and come back?
  22. 22.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  25. 25.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?
  26. 26.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  30. 30.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?
  31. 31.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 76 km upstream and come back?
  32. 32.Two trains, 240 m and 240 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  34. 34.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes 44 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)?
  38. 38.A boat goes 60 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)?
  39. 39.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 10
  2. 320
  3. 9
  4. 30
  5. 38
  6. 390
  7. 17
  8. 33
  9. 240
  10. 9
  11. 5
  12. 17
  13. 14
  14. 1
  15. 9
  16. 475
  17. 24
  18. 29
  19. 24
  20. 225
  21. 120
  22. 5
  23. 2
  24. 14
  25. 20
  26. 19
  27. 18
  28. 16
  29. 2
  30. 35
  31. 40
  32. 12
  33. 24
  34. 200
  35. 8
  36. 10
  37. 10
  38. 11
  39. 20
  40. 4

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