Question

lebron walked 4 1/2 miles to library in 2 1/4 hours. he walked the return trip at the same average rate , but a different route, taking my 2 1/2 hours. How many miles did lebron walk on the return trip?

Answer 1

5 miles

Step-by-step explanation:

First, we need to transform the mixed number into decimal numbers using as follows:

`\begin{gathered} 4(1)/(2)=4+(1)/(2)=4+0.5=4.5\text{ miles} \\ 2(1)/(4)=2+(1)/(4)=2+0.25=2.25\text{ hours} \\ 2(1)/(2)=2+(1)/(2)=2+0.5=2.5\text{ hours} \end{gathered}`

Now, the average rate was the same, so the ratio of the miles to the hours is always the same. Therefore, we can write the following equation:

`\frac{\text{Miles}}{\text{Hours}}=\frac{4.5\text{ Miles}}{2.25\text{ Hours}}=\frac{x}{2.5\text{ Hours}}`

Where x is the number of miles that Lebron walked on the return trip. So, solving for x, we get:

`\begin{gathered} (4.5)/(2.25)=(x)/(2.5) \\ (4.5)/(2.25)*2.5=(x)/(2.5)*2.5 \\ 5=x \end{gathered}`

Therefore, Lebron walked 5 miles on the return trip.