Dick, Jane, and Sally - all sibings who live together - left school at the same time and walked home.
Dick walked at a rate of 3 miles per hour, Jane walked at a rate of 4 miles per hour, and Sally walked at a rate of 2 miles per hour.
Dick got home at 3:10 PM and Jane got home at 3:00 PM.
What time were they dismissed from school, how far did they walk, and when did Sally get home?
Solution to the Problem:
They were dismissed from school at 2:30 PM, and walked 2 miles. Sally got home at 3:30 PM.Set up a Rate / Time /Distance chart to solve.
Let x = the number of hours that it took Jane to walk home.
Then x + 1/6 = the number of hours that it took Dick to walk home.
| Rate | Time | Distance | |
| Dick | 3 | x + 1/6 | 3(x + 1/6) |
| Jane | 4 | x | 4x |
| Sally | 2 |
Since they all walked the same distance home, set the expressions for the distances that Dick and Jane walked equal to each other and solve.
3(x + 1/6) = 4x
3x + 1/2 = 4x
so x = 1/2 hour or 30 minutes. This represents the time that it took Jane to walk home.
Since Jane arrived home at 3:00 PM, school must have been dismissed at 2:30 PM.
Substitute x = 1/2 into either of the distance expressions to get 3(1/2 + 1/6) = 4(1/2) = 2 miles.
So they walked 2 miles to get home.
Now if Sally walked at a rate of 2 mph and she walked 2 miles, it must have taken her 1 hour to get home. Therefore, Sally left school at 2:30 PM and got home at 3:30 PM.
Correctly solved by:
| 1. Eliza Sheffield and Anna Vice | Tuscaloosa, Alabama |
| 2. James Alarie | Flint, Michigan |
| 3. Tyler Stoddard |
Mountain View High School, Mountain View, Wyoming |
| 4. Ivy Joseph | Pune, Maharashtra, India |
| 5. Austin Smith |
Mountain View High School, Mountain View, Wyoming |
| 6. Cailee Hamilton |
Mountain View High School, Mountain View, Wyoming |
| 7. Madison Bindl |
Mountain View High School, Mountain View, Wyoming |
| 8. Raegan Martin |
Mountain View High School, Mountain View, Wyoming |
| 9. Brijesh Dave | Mumbai city, Maharashtra, India |
| 10. Tyson Roberts |
Mountain View High School, Mountain View, Wyoming |
| 11. Sami Lane |
Delta High School, Delta Colorado |
| 12. cantline@kpmath.com |
Mountain View High School, Mountain View, Wyoming |
| 13. Behlee Aimone |
Mountain View High School, Mountain View, Wyoming |
| 14. Trevon Peterson |
Mountain View High School, Mountain View, Wyoming |
| 15. Linzy Carpenter | ---------- |
| 16. Sameha Haque |
Delta High School, Delta Colorado |
| 17. Devan Timbreza | ---------- |
| 18. Miko Zhang |
Delta High School, Delta, Colorado |
| 19. Sierra Toomer |
Mountain View High School, Mountain View, Wyoming |
| 20. Jaden Downey |
Mountain View High School, Mountain View, Wyoming |
| 21. Claire Corbasson |
Mountain View High School, Mountain View, Wyoming |
| 22. Dawson Case |
Mountain View High School, Mountain View, Wyoming |
| 23. Nate Moretti |
Mountain View High School, Mountain View, Wyoming |
| 24. Tom Moschner |
Pasco County Schools New Port Richey, Florida |
| 25. Kelsey Giorgis |
Mountain View High School, Mountain View, Wyoming |
| 26. Hunter Gross |
Mountain View High School, Mountain View, Wyoming |
| 27. Alexander Thomas |
Mountain View High School, Mountain View, Wyoming |
| 28. Jason Stoddard |
Mountain View High School, Mountain View, Wyoming |
| 29. Kenzy Kellum |
Mountain View High School, Mountain View, Wyoming |
| 30. Kylie Walker |
Mountain View High School, Mountain View, Wyoming |
| 31. Valerie Walker |
Mountain View High School, Mountain View, Wyoming |
| 32. Braeden Walk |
Mountain View High School, Mountain View, Wyoming |
| 33. Faith Pfeifer |
Mountain View High School, Mountain View, Wyoming |
| 34. Sabre Williams |
Mountain View High School, Mountain View, Wyoming |
| 35. Hope Pfeifer |
Mountain View High School, Mountain View, Wyoming |