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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 516 · 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 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  3. 3.Two trains, 230 m and 250 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?
  4. 4.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  6. 6.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 100 m and 140 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?
  8. 8.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  9. 9.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  10. 10.Two trains, 110 m and 190 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?
  11. 11.Two trains, 60 m and 160 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?
  12. 12.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  13. 13.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  14. 14.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  19. 19.Two trains, 50 m and 100 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?
  20. 20.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  21. 21.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 24 km upstream and come back?
  25. 25.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  26. 26.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  28. 28.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  29. 29.Two trains, 120 m and 55 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?
  30. 30.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  31. 31.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  33. 33.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  34. 34.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  36. 36.Two trains, 120 m and 150 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?
  37. 37.Two trains, 220 m and 55 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?
  38. 38.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  39. 39.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 20
  2. 26
  3. 12
  4. 150
  5. 28
  6. 1
  7. 6
  8. 22
  9. 19
  10. 6
  11. 11
  12. 19
  13. 435
  14. 25
  15. 13
  16. 3
  17. 11
  18. 41
  19. 5
  20. 20
  21. 3
  22. 14
  23. 30
  24. 13
  25. 33
  26. 12
  27. 13
  28. 300
  29. 5
  30. 37
  31. 8
  32. 90
  33. 14
  34. 220
  35. 28
  36. 9
  37. 11
  38. 22
  39. 20
  40. 30

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