Question
One Saturday, you want to put in 3 volunteer hours at the food bank. You need to be home for dinner at 6:00 p.m. Your walk to the food bank takes 30 minutes, but you can catch a ride with a friend after you're done, so it takes only 10 minutes to get home. When do you need to leave for the food bank in order to get home in time for dinner? Show your work
Answers
GPT-4o mini
To determine when you need to leave for the food bank, we should work backward from your dinner time of 6:00 p.m.
1. **Time needed to get home after volunteering**: Since you can catch a ride and it takes 10 minutes to get home, you need to leave the food bank by:
\[
6:00 \text{ p.m.} - 10 \text{ minutes} = 5:50 \text{ p.m.}
\]
2. **Volunteer hours**: You plan to volunteer for 3 hours, which means you must finish working at the food bank by 5:50 p.m.
\[
5:50 \text{ p.m.} - 3 \text{ hours} = 2:50 \text{ p.m.}
\]
3. **Walking time to the food bank**: It takes you 30 minutes to walk to the food bank, so you need to leave your home at:
\[
2:50 \text{ p.m.} - 30 \text{ minutes} = 2:20 \text{ p.m.}
\]
Therefore, you need to leave for the food bank at **2:20 p.m.** to ensure you make it home by 6:00 p.m. for dinner.
1. **Time needed to get home after volunteering**: Since you can catch a ride and it takes 10 minutes to get home, you need to leave the food bank by:
\[
6:00 \text{ p.m.} - 10 \text{ minutes} = 5:50 \text{ p.m.}
\]
2. **Volunteer hours**: You plan to volunteer for 3 hours, which means you must finish working at the food bank by 5:50 p.m.
\[
5:50 \text{ p.m.} - 3 \text{ hours} = 2:50 \text{ p.m.}
\]
3. **Walking time to the food bank**: It takes you 30 minutes to walk to the food bank, so you need to leave your home at:
\[
2:50 \text{ p.m.} - 30 \text{ minutes} = 2:20 \text{ p.m.}
\]
Therefore, you need to leave for the food bank at **2:20 p.m.** to ensure you make it home by 6:00 p.m. for dinner.