Answer:
Option B is correct
[tex]1\frac{3}{4}[/tex] miles will Lucas walk if he takes route B
Step-by-step explanation:
As per the statement:
There are two routes Lucas can take to walk to school.
Route A is [tex]2\frac{1}{8} = \frac{17}{8}[/tex] miles and is 3/8 mile longer than route B
here, b is the length of route B.
The equation we get;
[tex]b+\frac{3}{8} = 2\frac{1}{8}[/tex]
⇒[tex]b+\frac{3}{8} = \frac{17}{8}[/tex]
Subtract [tex]\frac{3}{8}[/tex] from both sides we have;
⇒[tex]b = \frac{17}{8} -\frac{3}{8} = \frac{17-3}{8} = \frac{14}{8} = \frac{7}{4} = 1\frac{3}{4}[/tex]
Therefore, [tex]1\frac{3}{4}[/tex] miles will Lucas walk if he takes route B
