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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 965 · 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 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  4. 4.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  6. 6.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  7. 7.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.Two trains, 120 m and 180 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?
  10. 10.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)?
  11. 11.Two trains, 140 m and 190 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?
  12. 12.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 48 km upstream and come back?
  13. 13.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 24 km upstream and come back?
  14. 14.A boat goes 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 50 m and 335 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  16. 16.Two trains, 190 m and 80 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?
  17. 17.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 48 km upstream and come back?
  18. 18.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 60 m and 185 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?
  20. 20.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  21. 21.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  23. 23.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 40 km upstream and come back?
  25. 25.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  27. 27.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 150 m and 290 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?
  29. 29.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  30. 30.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 24 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)?
  32. 32.Two trains, 200 m and 75 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?
  33. 33.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  35. 35.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.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 80 km upstream and come back?
  38. 38.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  39. 39.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  40. 40.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 60 km upstream and come back?

Answer key

  1. 7
  2. 16
  3. 22
  4. 3
  5. 140
  6. 19
  7. 5
  8. 1
  9. 10
  10. 13
  11. 11
  12. 14
  13. 7
  14. 5
  15. 11
  16. 9
  17. 12
  18. 7
  19. 7
  20. 750
  21. 12
  22. 21
  23. 2
  24. 12
  25. 7
  26. 30
  27. 12
  28. 11
  29. 40
  30. 8
  31. 9
  32. 11
  33. 5
  34. 19
  35. 6
  36. 21
  37. 48
  38. 14
  39. 20
  40. 35

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