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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 330 · 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 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  2. 2.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  3. 3.Two trains, 200 m and 115 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?
  4. 4.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 27 km upstream and come back?
  6. 6.Two trains, 160 m and 90 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?
  7. 7.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  9. 9.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  10. 10.Two trains, 150 m and 60 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 train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  12. 12.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  13. 13.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  14. 14.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  18. 18.Two trains, 80 m and 140 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 boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 16 km upstream and come back?
  20. 20.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  21. 21.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 240 m and 80 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 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 110 km upstream and come back?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 42 km upstream and come back?
  27. 27.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  28. 28.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  29. 29.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 110 m and 115 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?
  32. 32.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 70 m and 260 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?
  34. 34.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  35. 35.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  36. 36.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  37. 37.Two trains, 190 m and 140 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?
  38. 38.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  40. 40.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?

Answer key

  1. 43
  2. 21
  3. 9
  4. 23
  5. 28
  6. 10
  7. 10
  8. 23
  9. 150
  10. 7
  11. 130
  12. 28
  13. 315
  14. 10
  15. 5
  16. 1
  17. 17
  18. 11
  19. 10
  20. 250
  21. 24
  22. 8
  23. 28
  24. 36
  25. 60
  26. 16
  27. 16
  28. 33
  29. 14
  30. 28
  31. 5
  32. 3
  33. 11
  34. 540
  35. 22
  36. 435
  37. 11
  38. 13
  39. 29
  40. 25

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