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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 338 · 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 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  3. 3.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  4. 4.Two trains, 210 m and 90 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 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?
  6. 6.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  7. 7.A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.A boat goes 92 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  11. 11.Two trains, 150 m and 95 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?
  12. 12.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 130 m and 70 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?
  14. 14.Two trains, 70 m and 260 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?
  15. 15.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.Two trains, 90 m and 190 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?
  19. 19.Two trains, 50 m and 225 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?
  20. 20.Two trains, 190 m and 50 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?
  21. 21.Two trains, 210 m and 175 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?
  22. 22.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 17 km upstream and come back?
  26. 26.Two trains, 250 m and 110 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?
  27. 27.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  28. 28.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  29. 29.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 32 km upstream and come back?
  30. 30.A boat goes 52 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)?
  31. 31.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  32. 32.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  34. 34.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  35. 35.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  37. 37.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  38. 38.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 50 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?
  40. 40.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?

Answer key

  1. 17
  2. 38
  3. 480
  4. 12
  5. 22
  6. 27
  7. 4
  8. 180
  9. 4
  10. 28
  11. 7
  12. 28
  13. 8
  14. 11
  15. 7
  16. 26
  17. 14
  18. 8
  19. 11
  20. 6
  21. 11
  22. 2
  23. 23
  24. 400
  25. 18
  26. 12
  27. 27
  28. 25
  29. 5
  30. 11
  31. 33
  32. 2
  33. 21
  34. 22
  35. 8
  36. 350
  37. 110
  38. 18
  39. 5
  40. 10

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