← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 391 · 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 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  2. 2.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 50 m and 160 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?
  5. 5.Two trains, 170 m and 105 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?
  6. 6.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)?
  7. 7.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  8. 8.Two trains, 130 m and 80 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?
  9. 9.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 200 m and 100 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?
  11. 11.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  13. 13.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 220 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?
  15. 15.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  16. 16.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 96 km upstream and come back?
  17. 17.Two trains, 200 m and 295 m long, run towards each other on side-by-side tracks at 90 km/h and 72 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.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  20. 20.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  21. 21.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  24. 24.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  25. 25.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  29. 29.Two trains, 70 m and 55 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?
  30. 30.Two trains, 200 m and 115 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?
  31. 31.Two trains, 230 m and 100 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?
  32. 32.Two trains, 220 m and 50 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?
  33. 33.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 36 km upstream and come back?
  34. 34.Two trains, 60 m and 140 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?
  35. 35.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  38. 38.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  39. 39.Two trains, 130 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?
  40. 40.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?

Answer key

  1. 37
  2. 2
  3. 1
  4. 7
  5. 11
  6. 1
  7. 405
  8. 6
  9. 26
  10. 10
  11. 1
  12. 34
  13. 27
  14. 11
  15. 600
  16. 40
  17. 11
  18. 5
  19. 22
  20. 25
  21. 8
  22. 2
  23. 190
  24. 450
  25. 4
  26. 2
  27. 5
  28. 300
  29. 5
  30. 9
  31. 11
  32. 9
  33. 40
  34. 10
  35. 13
  36. 30
  37. 20
  38. 14
  39. 10
  40. 18

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