john went on a bike ride to the store 4 miles away.  if it took John 3/10 of an hour to get there and 1/2 of an hour to get back, what was his average rate of speed (miles per hour) for the entire trip?  To find the average, divide the total distance by the total duration.

To find John's average speed for the entire trip, we will follow these steps:

### Step 1: Total Distance
John rode 4 miles to the store and 4 miles back, so the total distance is:

\[
\text{Total Distance} = 4 \, \text{miles} + 4 \, \text{miles} = 8 \, \text{miles}
\]

### Step 2: Total Time
The time it took John to get to the store is \( \frac{3}{10} \) of an hour, and the time it took him to get back is \( \frac{1}{2} \) of an hour. Adding these times together:

\[
\text{Total Time} = \frac{3}{10} \, \text{hours} + \frac{1}{2} \, \text{hours}
\]

We need to add these fractions. First, convert \( \frac{1}{2} \) to have a denominator of 10:

\[
\frac{1}{2} = \frac{5}{10}
\]

Now, add the fractions:

\[
\text{Total Time} = \frac{3}{10} + \frac{5}{10} = \frac{8}{10} = 0.8 \, \text{hours}
\]

### Step 3: Average Speed
The average speed is calculated by dividing the total distance by the total time:

\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{8 \, \text{miles}}{0.8 \, \text{hours}} = 10 \, \text{miles per hour}
\]

So, John's average speed for the entire trip was **10 miles per hour**.

Do you want further details or have any questions about this?

### Related Questions:
1. What would his average speed be if he took 1 hour to return instead of 1/2 hour?
2. How would the average speed change if the distance to the store was 6 miles?
3. If John spent 15 minutes at the store, how would the total time for the trip be calculated?
4. How would you calculate the average speed if John had taken different routes to and from the store with different distances?
5. What would the average speed be if John spent twice as long going to the store than coming back?

### Tip:
To handle fractional times more easily, try converting them to decimals before performing operations.

John went on a bike ride to the store 4 miles away. If it took John 3/10 of an hour to get there and 1/2 of an hour to get back, what was his average rate of speed (miles per hour) for the entire trip? To find the average, divide the total distance by the total duration.

Learn how to calculate the average speed for a round trip where John bikes 4 miles to a store and returns, taking 3/10 of an hour to go and 1/2 an hour to return. This solution covers key arithmetic concepts, including distance, time, and rates. Suitable for students in Grades 6-8.

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