Will arrive at his mother's office at 3 p.m. it took him 30 minutes to walk from his home to the Mall he was in the mall for 45 minutes it then took him 15 minutes to walk to his mother's office at what time did I leave home

30 + 45 + 15 = 1 hour and a half

3:00 - 1:30 = ______ p.m.

To determine the time you left home, we'll need to work backwards from when you arrived at your mother's office.

You arrived at your mother's office at 3 p.m., and it took you 15 minutes to walk there. This means you started walking to your mother's office at 2:45 p.m.

Before that, you were in the mall for 45 minutes. So, you left the mall 45 minutes before 2:45 p.m., which would be 2:00 p.m.

Prior to going to the mall, it took you 30 minutes to walk from your home. Therefore, you left home 30 minutes before 2:00 p.m., which would be 1:30 p.m.

So, you left home at 1:30 p.m.

To determine the time when you left home, we need to calculate the total duration of your journey.

Given information:
- It took you 30 minutes to walk from home to the mall.
- You were in the mall for 45 minutes.
- It took you 15 minutes to walk from the mall to your mother's office.
- You arrived at your mother's office at 3 p.m.

Let's work backwards:
- You spent 15 minutes walking from the mall to your mother's office, so subtracting that from the arrival time gives us 3 p.m. - 15 minutes = 2:45 p.m.
- Then, you spent 45 minutes in the mall, so subtracting that from the previous time gives us 2:45 p.m. - 45 minutes = 2:00 p.m.
- Finally, you spent 30 minutes walking from home to the mall, so subtracting that from the previous time gives us 2:00 p.m. - 30 minutes = 1:30 p.m.

Therefore, you left home at 1:30 p.m.