My brother George is employed at a research institute. He starts his working day at 9 a.m. He wakes up at 7.30 a.m

Sharik

31

Currently, it is 4 p.m. and George is at work. We need to determine what time George will leave the institute and arrive home.

To find the time George will leave the institute, we need to add the duration of his working hours to the time he starts work. The duration of his working hours is given as 9 hours (from 9 a.m. to 6 p.m.), so we can find the leaving time by adding 9 hours to his starting time:

\[9 \text{ hours} + 9 \text{ a.m.} = 6 \text{ p.m.}\]

Therefore, George will leave the institute at 6 p.m.

Now, we need to calculate the time it takes for George to commute from the institute to his home. The given information states that it takes him half an hour to commute to the institute. Assuming that the commute time remains the same, it will also take him half an hour to commute back home.

So, to find the time George will arrive home, we can add the commute time to the time he leaves the institute:

\[6 \text{ p.m.} + 0.5 \text{ hour} = 6:30 \text{ p.m.}\]

Therefore, George will arrive home at 6:30 p.m.

As for his activities after arriving home, it is mentioned that his family has dinner together and then they often spend an hour or so in the park. Therefore, after arriving home at 6:30 p.m., George will have dinner with his wife and kids. Afterward, they will spend approximately one hour in the park.

I hope this detailed explanation helps you understand the timeline of George"s day and when he will leave work and arrive home.