← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 254 · 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 running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  2. 2.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  4. 4.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  5. 5.Two trains, 80 m and 60 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?
  6. 6.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.Two trains, 110 m and 240 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?
  8. 8.A boat goes 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.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?
  11. 11.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.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 16 km upstream and come back?
  13. 13.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  17. 17.Two trains, 60 m and 220 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?
  18. 18.Two trains, 80 m and 70 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?
  19. 19.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  20. 20.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 44 km upstream and come back?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 21 km upstream and come back?
  22. 22.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  23. 23.Two trains, 170 m and 75 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 train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  25. 25.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  27. 27.Two trains, 150 m and 130 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?
  28. 28.Two trains, 100 m and 60 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?
  29. 29.Two trains, 70 m and 200 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?
  30. 30.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  31. 31.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  32. 32.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  34. 34.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  36. 36.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  37. 37.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 30 km upstream and come back?
  38. 38.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 210 m and 290 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?
  40. 40.Two trains, 60 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?

Answer key

  1. 360
  2. 27
  3. 29
  4. 29
  5. 4
  6. 11
  7. 10
  8. 5
  9. 30
  10. 16
  11. 12
  12. 9
  13. 1
  14. 3
  15. 4
  16. 28
  17. 7
  18. 6
  19. 20
  20. 48
  21. 22
  22. 25
  23. 7
  24. 18
  25. 7
  26. 180
  27. 8
  28. 4
  29. 9
  30. 16
  31. 90
  32. 27
  33. 48
  34. 12
  35. 140
  36. 26
  37. 16
  38. 18
  39. 10
  40. 5

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