← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 522 · 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 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  4. 4.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  5. 5.Two trains, 80 m and 60 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?
  6. 6.Two trains, 130 m and 140 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?
  7. 7.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.Two trains, 70 m and 80 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?
  9. 9.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  10. 10.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 150 m and 200 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?
  12. 12.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  13. 13.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  14. 14.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  15. 15.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  16. 16.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  17. 17.Two trains, 180 m and 180 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.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  19. 19.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  22. 22.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 170 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?
  24. 24.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  28. 28.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  29. 29.A boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.Two trains, 100 m and 75 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?
  31. 31.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?
  32. 32.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  33. 33.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  35. 35.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  37. 37.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  38. 38.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  39. 39.Two trains, 110 m and 430 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?
  40. 40.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?

Answer key

  1. 20
  2. 3
  3. 100
  4. 180
  5. 7
  6. 9
  7. 18
  8. 5
  9. 38
  10. 29
  11. 10
  12. 50
  13. 24
  14. 14
  15. 21
  16. 32
  17. 9
  18. 16
  19. 2
  20. 5
  21. 18
  22. 5
  23. 12
  24. 5
  25. 25
  26. 4
  27. 22
  28. 20
  29. 2
  30. 7
  31. 18
  32. 32
  33. 30
  34. 15
  35. 8
  36. 240
  37. 130
  38. 165
  39. 12
  40. 345

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