← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 441 · 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, 110 m and 310 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?
  2. 2.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  3. 3.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  4. 4.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  6. 6.Two trains, 80 m and 120 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 running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  8. 8.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  10. 10.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  11. 11.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 250 m and 50 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?
  13. 13.Two trains, 190 m and 195 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?
  14. 14.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  16. 16.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  20. 20.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  21. 21.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  22. 22.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  24. 24.Two trains, 120 m and 125 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?
  25. 25.Two trains, 100 m and 80 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?
  26. 26.Two trains, 120 m and 90 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?
  27. 27.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  28. 28.Two trains, 80 m and 220 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?
  29. 29.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  30. 30.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  31. 31.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  32. 32.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  34. 34.Two trains, 60 m and 210 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?
  35. 35.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  38. 38.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  39. 39.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  40. 40.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?

Answer key

  1. 12
  2. 17
  3. 22
  4. 5
  5. 30
  6. 8
  7. 280
  8. 1
  9. 150
  10. 175
  11. 30
  12. 10
  13. 11
  14. 1
  15. 12
  16. 4
  17. 24
  18. 17
  19. 31
  20. 8
  21. 29
  22. 19
  23. 23
  24. 7
  25. 9
  26. 6
  27. 600
  28. 10
  29. 27
  30. 100
  31. 15
  32. 9
  33. 270
  34. 6
  35. 6
  36. 2
  37. 16
  38. 350
  39. 31
  40. 5

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