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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 406 · 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 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  2. 2.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  4. 4.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 60 km upstream and come back?
  5. 5.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  6. 6.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  7. 7.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  8. 8.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  9. 9.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 99 km upstream and come back?
  10. 10.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  12. 12.Two trains, 250 m and 80 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?
  13. 13.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 90 m and 225 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?
  16. 16.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  17. 17.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  18. 18.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 40 km upstream and come back?
  19. 19.Two trains, 250 m and 110 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?
  20. 20.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  21. 21.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  22. 22.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  23. 23.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  24. 24.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  25. 25.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  28. 28.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?
  29. 29.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  30. 30.Two trains, 120 m and 120 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?
  31. 31.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  32. 32.Two trains, 80 m and 360 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?
  33. 33.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 84 km upstream and come back?
  34. 34.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  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 40 km upstream and come back?
  36. 36.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  37. 37.Two trains, 90 m and 180 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?
  38. 38.Two trains, 60 m and 100 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?
  39. 39.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  40. 40.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?

Answer key

  1. 35
  2. 520
  3. 17
  4. 36
  5. 23
  6. 32
  7. 25
  8. 290
  9. 44
  10. 27
  11. 240
  12. 11
  13. 13
  14. 5
  15. 9
  16. 27
  17. 150
  18. 15
  19. 8
  20. 28
  21. 27
  22. 25
  23. 32
  24. 40
  25. 2
  26. 12
  27. 37
  28. 13
  29. 22
  30. 8
  31. 16
  32. 11
  33. 40
  34. 11
  35. 9
  36. 230
  37. 6
  38. 8
  39. 400
  40. 22

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