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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 190 · 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 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  3. 3.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  4. 4.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 70 km upstream and come back?
  6. 6.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  7. 7.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  9. 9.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  11. 11.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  12. 12.Two trains, 90 m and 210 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?
  13. 13.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  14. 14.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 60 m and 90 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?
  16. 16.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 99 km upstream and come back?
  17. 17.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.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?
  21. 21.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  24. 24.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  25. 25.Two trains, 90 m and 120 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?
  26. 26.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  27. 27.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  28. 28.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 112 km upstream and come back?
  31. 31.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 170 m and 75 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?
  34. 34.Two trains, 100 m and 80 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?
  35. 35.Two trains, 190 m and 85 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?
  36. 36.Two trains, 70 m and 260 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?
  37. 37.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 36 km upstream and come back?
  38. 38.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?
  39. 39.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  40. 40.A boat goes 80 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 18
  2. 400
  3. 15
  4. 260
  5. 42
  6. 16
  7. 2
  8. 29
  9. 24
  10. 200
  11. 125
  12. 12
  13. 29
  14. 28
  15. 5
  16. 108
  17. 30
  18. 3
  19. 9
  20. 10
  21. 24
  22. 29
  23. 21
  24. 31
  25. 7
  26. 24
  27. 27
  28. 30
  29. 20
  30. 42
  31. 7
  32. 19
  33. 7
  34. 6
  35. 11
  36. 11
  37. 5
  38. 18
  39. 28
  40. 5

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