Suppose you run 4 miles from your house to a​ friend's house at a speed of 7 miles per hour. When the time comes to return​ home, you are tired and walk the same 4 miles home at 3 miles per hour

To solve this problem, we need to calculate the total time it takes to run 4 miles to your friend's house and then walk the 4 miles back home.

### Step 1: Calculate the time taken to run to the friend's house.

The formula for time is:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

Given:
- Distance = 4 miles
- Speed = 7 miles per hour

\[
\text{Time to run} = \frac{4 \text{ miles}}{7 \text{ miles per hour}} = \frac{4}{7} \text{ hours} \approx 0.571 \text{ hours}
\]

### Step 2: Calculate the time taken to walk back home.

Given:
- Distance = 4 miles
- Speed = 3 miles per hour

\[
\text{Time to walk} = \frac{4 \text{ miles}}{3 \text{ miles per hour}} = \frac{4}{3} \text{ hours} \approx 1.333 \text{ hours}
\]

### Step 3: Calculate the total time for the round trip.

Now, add the time taken for both the running and walking:

\[
\text{Total time} = \frac{4}{7} \text{ hours} + \frac{4}{3} \text{ hours} \approx 0.571 \text{ hours} + 1.333 \text{ hours} = 1.904 \text{ hours}
\]

### Step 4: Convert the total time to minutes (if necessary).

To convert hours to minutes:

\[
1.904 \text{ hours} \times 60 \text{ minutes per hour} \approx 114.24 \text{ minutes}
\]

So, the total time spent is approximately **1.904 hours** or **114.24 minutes**.

Would you like further details or have any questions?

Here are 5 related questions for further exploration:

1. What is the average speed for the entire round trip?
2. How much time would it save if you ran both ways at 7 miles per hour?
3. If you reduced your walking speed to 2 miles per hour, how much longer would the return trip take?
4. How far would you travel if you increased the distance by 50%?
5. How long would the trip take if you walked the entire distance at 3 miles per hour?

**Tip:** When dealing with distance, speed, and time, always ensure that the units are consistent to avoid calculation errors.

Suppose you run 4 miles from your house to a friend's house at a speed of 7 miles per hour. When the time comes to return home, you are tired and walk the same 4 miles home at 3 miles per hour.

Learn how to calculate the total time for a round trip, where you run 4 miles to a friend's house at 7 miles per hour and walk 4 miles back at 3 miles per hour. This problem involves key concepts such as the distance-speed-time relationship and unit conversion, suitable for Grades 6-8.

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