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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 311 · 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 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 250 m and 190 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?
  4. 4.Two trains, 170 m and 105 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?
  5. 5.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 60 m and 325 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?
  7. 7.Two trains, 240 m and 110 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?
  8. 8.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 60 km upstream and come back?
  10. 10.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  11. 11.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  12. 12.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  13. 13.Two trains, 80 m and 120 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?
  14. 14.Two trains, 90 m and 225 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  15. 15.Two trains, 210 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?
  16. 16.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 90 m and 120 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?
  19. 19.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  21. 21.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  23. 23.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  24. 24.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  26. 26.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 100 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?
  28. 28.Two trains, 130 m and 170 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?
  29. 29.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  30. 30.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?
  31. 31.Two trains, 120 m and 265 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?
  32. 32.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  34. 34.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  36. 36.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  39. 39.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 190 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?

Answer key

  1. 3
  2. 26
  3. 11
  4. 11
  5. 6
  6. 11
  7. 10
  8. 10
  9. 33
  10. 300
  11. 17
  12. 320
  13. 5
  14. 9
  15. 9
  16. 2
  17. 21
  18. 6
  19. 17
  20. 24
  21. 11
  22. 580
  23. 200
  24. 2
  25. 40
  26. 1
  27. 7
  28. 10
  29. 560
  30. 10
  31. 11
  32. 300
  33. 26
  34. 270
  35. 18
  36. 19
  37. 22
  38. 32
  39. 22
  40. 10

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