To solve this problem, let's break down the time and use it to find the distance to the school.

Step 1: Calculate the total time spent walking

The boy leaves for school at 7:00 AM and returns home at 3:00 PM.

• Total time from 7:00 AM to 3:00 PM = 8 hours

He spends 6 hours and 30 minutes in school.

• Time spent walking = Total time - Time spent in school
• Time spent walking = 8 hours - 6 hours 30 minutes = 1 hour 30 minutes

Step 2: Find the time spent walking one way

The time spent walking is divided into two parts: to school and back.

• Time spent walking one way = $\frac{1 \text{ hour } 30 \text{ minutes}}{2} = 45 \text{ minutes}$
• Convert 45 minutes to hours: $45 \text{ minutes} = 0.75 \text{ hours}$

Step 3: Calculate the distance to the school

The boy walks at a constant speed of 4 km/h.

• Distance = Speed × Time
• Distance to school = 4 \text{ km/h} × 0.75 \text{ hours}
• Distance to school = 3 km

Final Answer:

The school is 3 kilometers away from the boy's home.

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Do you want details or have any questions?
Here are 5 related questions for further exploration:

1. What would be the distance if the boy walked at a speed of 5 km/h?
2. How long would it take the boy to reach the school if it were 4 km away?
3. If the boy leaves school at 2:00 PM instead, what would his new return time be?
4. How much time does the boy spend walking in total during the week if he goes to school 5 days a week?
5. What would be the boy's average speed if he took 1 hour to walk to school?

Tip: Remember that converting time into hours or minutes accurately is crucial in solving time-speed-distance problems!