Answer:
The mall is <u>6 miles</u> far from there school.
Step-by-step explanation:
Given:
Marshall and Mimi walk the same distance from the school to the shopping mall. Marshall walked 2 mph while Mimi left one hour later and walked 3 mph.
If they reached the mall at the same time.
Now, to find the distance from the mall to there school.
Let the time be ![x.](https://tex.z-dn.net/?f=x.)
As, the speed of Marshall = 2 mph.
So, the distance of Marshall = ![2\times x=2x.](https://tex.z-dn.net/?f=2%5Ctimes%20x%3D2x.)
Now, Mimi left one hour later and walked 3 mph.
Let the time of Mimi be ![x-1.](https://tex.z-dn.net/?f=x-1.)
Speed of Mimi = 3 mph.
Thus, the distance of Mimi = ![3\times (x-1)=3x-3.](https://tex.z-dn.net/?f=3%5Ctimes%20%28x-1%29%3D3x-3.)
<em>As, given Marshall and Mimi walk the same distance from the school to the shopping mall and they reached the mall at the same time.</em>
According to question:
![2x=3x-3](https://tex.z-dn.net/?f=2x%3D3x-3)
<em>Adding both sides by 3 we get:</em>
![2x+3=3x](https://tex.z-dn.net/?f=2x%2B3%3D3x)
<em>Subtracting both sides by 2</em>
<em> we get:</em>
![3=x\\\\x=3.](https://tex.z-dn.net/?f=3%3Dx%5C%5C%5C%5Cx%3D3.)
Now, to get the distance from the mall to there school we substitute the value of
:
![2x\\\\=2\times 3\\\\=6\ miles.](https://tex.z-dn.net/?f=2x%5C%5C%5C%5C%3D2%5Ctimes%203%5C%5C%5C%5C%3D6%5C%20miles.)
Therefore, the mall is 6 miles far from there school.