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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 357 · 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.Two trains, 210 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?
  2. 2.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  3. 3.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  5. 5.Two trains, 60 m and 90 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?
  6. 6.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  7. 7.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  8. 8.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  9. 9.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  10. 10.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  11. 11.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.Two trains, 90 m and 130 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?
  13. 13.Two trains, 150 m and 90 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?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 48 km upstream and come back?
  15. 15.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  16. 16.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  18. 18.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  19. 19.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  20. 20.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  21. 21.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  22. 22.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 108 km upstream and come back?
  28. 28.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  29. 29.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  32. 32.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 200 m and 240 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?
  35. 35.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  36. 36.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  37. 37.Two trains, 100 m and 180 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?
  38. 38.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?

Answer key

  1. 11
  2. 210
  3. 1
  4. 30
  5. 6
  6. 26
  7. 360
  8. 19
  9. 40
  10. 200
  11. 3
  12. 11
  13. 8
  14. 27
  15. 29
  16. 6
  17. 27
  18. 28
  19. 400
  20. 41
  21. 13
  22. 4
  23. 400
  24. 8
  25. 6
  26. 240
  27. 120
  28. 22
  29. 1
  30. 21
  31. 41
  32. 11
  33. 26
  34. 11
  35. 26
  36. 37
  37. 7
  38. 1
  39. 23
  40. 41

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