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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 536 · 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 train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  3. 3.Two trains, 240 m and 165 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?
  4. 4.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  5. 5.Two trains, 110 m and 160 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?
  6. 6.Two trains, 140 m and 175 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, 130 m and 230 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?
  8. 8.Two trains, 160 m and 140 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  9. 9.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  10. 10.Two trains, 110 m and 130 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?
  11. 11.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  13. 13.Two trains, 70 m and 130 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?
  14. 14.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  16. 16.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  18. 18.Two trains, 120 m and 380 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  19. 19.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 90 m and 90 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?
  21. 21.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.Two trains, 80 m and 240 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?
  23. 23.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  25. 25.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  26. 26.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 150 m and 210 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?
  28. 28.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 105 km upstream and come back?
  29. 29.Two trains, 170 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?
  30. 30.A boat goes 85 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 180 m and 70 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?
  33. 33.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  35. 35.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.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?
  38. 38.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 74 km upstream and come back?

Answer key

  1. 17
  2. 19
  3. 9
  4. 10
  5. 6
  6. 9
  7. 12
  8. 6
  9. 200
  10. 8
  11. 3
  12. 36
  13. 8
  14. 26
  15. 13
  16. 7
  17. 9
  18. 10
  19. 27
  20. 6
  21. 20
  22. 8
  23. 9
  24. 24
  25. 32
  26. 14
  27. 8
  28. 50
  29. 8
  30. 13
  31. 16
  32. 10
  33. 25
  34. 39
  35. 2
  36. 1
  37. 26
  38. 8
  39. 2
  40. 76

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