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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 346 · 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 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)?
  2. 2.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?
  3. 3.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 110 m and 130 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?
  5. 5.A boat goes 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 50 m and 265 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?
  7. 7.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  10. 10.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.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 117 km upstream and come back?
  12. 12.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 190 m and 130 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?
  16. 16.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.Two trains, 50 m and 110 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?
  18. 18.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.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)?
  20. 20.Two trains, 170 m and 50 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?
  21. 21.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  22. 22.Two trains, 170 m and 130 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?
  23. 23.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  25. 25.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  26. 26.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  27. 27.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 81 km upstream and come back?
  29. 29.Two trains, 140 m and 60 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  30. 30.Two trains, 140 m and 100 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 train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  32. 32.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.Two trains, 110 m and 170 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  36. 36.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  37. 37.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 104 km upstream and come back?
  40. 40.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?

Answer key

  1. 20
  2. 9
  3. 7
  4. 8
  5. 5
  6. 9
  7. 21
  8. 15
  9. 70
  10. 17
  11. 48
  12. 10
  13. 8
  14. 7
  15. 8
  16. 10
  17. 4
  18. 60
  19. 10
  20. 11
  21. 33
  22. 10
  23. 17
  24. 25
  25. 24
  26. 23
  27. 27
  28. 90
  29. 5
  30. 12
  31. 21
  32. 300
  33. 1
  34. 5
  35. 7
  36. 22
  37. 4
  38. 3
  39. 39
  40. 20

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