← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 532 · 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 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  3. 3.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  4. 4.Two trains, 130 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?
  5. 5.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  6. 6.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  7. 7.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  8. 8.Two trains, 140 m and 175 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  9. 9.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 80 km upstream and come back?
  10. 10.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  11. 11.Two trains, 70 m and 70 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 running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  13. 13.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  14. 14.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.Two trains, 160 m and 440 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?
  19. 19.Two trains, 70 m and 290 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?
  20. 20.Two trains, 60 m and 90 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?
  21. 21.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  22. 22.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  24. 24.Two trains, 70 m and 80 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?
  25. 25.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 70 m and 70 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?
  27. 27.Two trains, 50 m and 130 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?
  28. 28.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  29. 29.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  32. 32.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  33. 33.Two trains, 150 m and 70 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?
  34. 34.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  35. 35.Two trains, 250 m and 150 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?
  36. 36.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 250 m and 65 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?
  39. 39.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?

Answer key

  1. 21
  2. 21
  3. 23
  4. 9
  5. 27
  6. 435
  7. 650
  8. 9
  9. 18
  10. 26
  11. 7
  12. 475
  13. 25
  14. 3
  15. 5
  16. 3
  17. 3
  18. 12
  19. 9
  20. 5
  21. 24
  22. 17
  23. 30
  24. 5
  25. 24
  26. 4
  27. 6
  28. 26
  29. 12
  30. 27
  31. 125
  32. 25
  33. 11
  34. 34
  35. 10
  36. 25
  37. 13
  38. 7
  39. 23
  40. 325

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude