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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 113 · 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 at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  2. 2.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  3. 3.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  5. 5.Two trains, 190 m and 50 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?
  6. 6.Two trains, 70 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?
  7. 7.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 250 m and 170 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?
  9. 9.Two trains, 60 m and 435 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?
  10. 10.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 63 km upstream and come back?
  11. 11.Two trains, 130 m and 230 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?
  12. 12.Two trains, 240 m and 200 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  13. 13.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  14. 14.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  15. 15.Two trains, 70 m and 210 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.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  17. 17.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 250 m and 150 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?
  19. 19.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  20. 20.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  22. 22.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.Two trains, 80 m and 80 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  24. 24.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  25. 25.A boat goes 100 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)?
  26. 26.Two trains, 170 m and 70 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?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 60 km upstream and come back?
  28. 28.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 15 km upstream and come back?
  30. 30.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 24 km upstream and come back?
  32. 32.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  34. 34.Two trains, 170 m and 325 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?
  35. 35.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  37. 37.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 160 m and 65 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?
  39. 39.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 60 m and 60 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?

Answer key

  1. 22
  2. 41
  3. 7
  4. 700
  5. 8
  6. 8
  7. 20
  8. 12
  9. 11
  10. 28
  11. 8
  12. 11
  13. 22
  14. 19
  15. 8
  16. 480
  17. 28
  18. 10
  19. 11
  20. 540
  21. 15
  22. 4
  23. 4
  24. 10
  25. 18
  26. 8
  27. 24
  28. 5
  29. 6
  30. 27
  31. 7
  32. 18
  33. 25
  34. 11
  35. 3
  36. 21
  37. 8
  38. 5
  39. 10
  40. 6

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