San Diego left San Francisco on Tuesday at 6.30 p.m. and took 8 hours 45 minutes to reach his home. On what day and at what time in a 24 hour system did he reach home?

Where is his home?

To determine the day and time San Diego reached home, we need to add the travel time to the departure time.

The travel time is given as 8 hours 45 minutes. To convert the 45 minutes into hours, we divide it by 60 (since there are 60 minutes in an hour):

45 minutes ÷ 60 minutes/hour = 0.75 hours

Now, we add the travel time to the departure time:

6.30 p.m. + 8 hours + 0.75 hours

First, let's convert the 6.30 p.m. to a 24-hour format. To do this, we add 12 hours to the time since it is in the afternoon:

6.30 p.m. + 12 hours = 18.30

Now we can perform the addition:

18.30 + 8 + 0.75

18.30 + 8 = 26.30

Since there are 24 hours in a day, we need to subtract 24 from the hours:

26.30 - 24 = 2.30

So, San Diego reached home at 2:30 a.m. And since he departed on Tuesday, we add the travel time to determine the arrival day:

Tuesday + 8 hours 45 minutes = Wednesday

Therefore, San Diego reached home at 2:30 a.m. on Wednesday.