 A boy leaves for his school at 7:00 am He spends 6 hours 30 minutes in the school and
comes back at 3:00 pm on the same day. If he walks at constant speed of 4 km/h, find how
far is his school 

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!

Learn how to calculate the distance to school using a time-speed-distance problem. The boy leaves home at 7:00 AM, spends 6 hours 30 minutes in school, and returns at 3:00 PM. He walks at a constant speed of 4 km/h. Discover how to solve for distance with step-by-step instructions and unit conversions. Suitable for Grades 5-6.

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