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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 854 · 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 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  3. 3.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 28 km upstream and come back?
  4. 4.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  7. 7.Two trains, 220 m and 55 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?
  8. 8.Two trains, 80 m and 280 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?
  9. 9.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?
  10. 10.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)?
  11. 11.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  13. 13.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 68 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  18. 18.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 105 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 18 km upstream and come back?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  25. 25.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  27. 27.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 110 m and 310 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?
  30. 30.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.Two trains, 150 m and 170 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?
  32. 32.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  33. 33.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  34. 34.Two trains, 100 m and 200 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?
  35. 35.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  37. 37.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  38. 38.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?
  39. 39.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 130 m and 270 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?

Answer key

  1. 4
  2. 400
  3. 9
  4. 2
  5. 13
  6. 22
  7. 11
  8. 8
  9. 8
  10. 3
  11. 3
  12. 405
  13. 16
  14. 4
  15. 15
  16. 11
  17. 26
  18. 10
  19. 10
  20. 4
  21. 3
  22. 4
  23. 10
  24. 24
  25. 20
  26. 23
  27. 1
  28. 27
  29. 12
  30. 1
  31. 8
  32. 220
  33. 32
  34. 12
  35. 25
  36. 22
  37. 27
  38. 24
  39. 25
  40. 10

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