Respuesta :
Answer:
The mall is 6 miles 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 [tex]x.[/tex]
As, the speed of Marshall = 2 mph.
So, the distance of Marshall = [tex]2\times x=2x.[/tex]
Now, Mimi left one hour later and walked 3 mph.
Let the time of Mimi be [tex]x-1.[/tex]
Speed of Mimi = 3 mph.
Thus, the distance of Mimi = [tex]3\times (x-1)=3x-3.[/tex]
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.
According to question:
[tex]2x=3x-3[/tex]
Adding both sides by 3 we get:
[tex]2x+3=3x[/tex]
Subtracting both sides by 2[tex]x[/tex] we get:
[tex]3=x\\\\x=3.[/tex]
Now, to get the distance from the mall to there school we substitute the value of [tex]x[/tex]:
[tex]2x\\\\=2\times 3\\\\=6\ miles.[/tex]
Therefore, the mall is 6 miles far from there school.
