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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 61 · 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 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  2. 2.Two trains, 50 m and 50 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?
  3. 3.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.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 72 km upstream and come back?
  6. 6.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.Two trains, 100 m and 285 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?
  9. 9.Two trains, 150 m and 125 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?
  10. 10.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  11. 11.Two trains, 110 m and 90 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?
  12. 12.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  14. 14.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  16. 16.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 150 m and 50 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?
  19. 19.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 40 km upstream and come back?
  23. 23.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 36 km upstream and come back?
  24. 24.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  26. 26.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  27. 27.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 100 m and 260 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?
  29. 29.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 9 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?
  31. 31.Two trains, 90 m and 85 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?
  32. 32.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  33. 33.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  35. 35.Two trains, 190 m and 260 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?
  36. 36.Two trains, 60 m and 300 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, 190 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  38. 38.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  40. 40.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?

Answer key

  1. 14
  2. 4
  3. 13
  4. 12
  5. 15
  6. 20
  7. 3
  8. 11
  9. 11
  10. 340
  11. 5
  12. 20
  13. 150
  14. 9
  15. 29
  16. 25
  17. 10
  18. 10
  19. 14
  20. 15
  21. 315
  22. 14
  23. 20
  24. 30
  25. 200
  26. 250
  27. 2
  28. 9
  29. 23
  30. 9
  31. 5
  32. 230
  33. 24
  34. 160
  35. 10
  36. 12
  37. 7
  38. 12
  39. 420
  40. 750

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