← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 232 · 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 boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  3. 3.Two trains, 190 m and 55 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?
  4. 4.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  7. 7.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  8. 8.Two trains, 150 m and 150 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?
  9. 9.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 58 km upstream and come back?
  10. 10.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  11. 11.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.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 64 km upstream and come back?
  14. 14.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  17. 17.Two trains, 140 m and 175 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?
  18. 18.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 150 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?
  20. 20.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 70 m and 110 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?
  22. 22.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 60 m and 360 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?
  24. 24.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  25. 25.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  26. 26.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  29. 29.Two trains, 180 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?
  30. 30.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  31. 31.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  33. 33.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  36. 36.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  37. 37.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  40. 40.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?

Answer key

  1. 17
  2. 140
  3. 7
  4. 7
  5. 2
  6. 29
  7. 22
  8. 10
  9. 60
  10. 22
  11. 23
  12. 16
  13. 24
  14. 3
  15. 30
  16. 32
  17. 7
  18. 5
  19. 8
  20. 13
  21. 4
  22. 27
  23. 12
  24. 28
  25. 38
  26. 29
  27. 7
  28. 360
  29. 11
  30. 420
  31. 27
  32. 18
  33. 1
  34. 15
  35. 39
  36. 360
  37. 10
  38. 17
  39. 170
  40. 15

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