Answer:
Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B
Step-by-step explanation:
Length of route A = [tex]2 \frac{1}{8} miles[/tex]
Length of route A [tex]=\frac{17}{8} miles[/tex]
We are given that route A is 3/8 mile longer than route B
Let b be the length of route B
So, [tex]b+\frac{3}{8} =2 \frac{1}{8} \\b+\frac{3}{8} =\frac{17}{8}\\b=\frac{17}{8}-\frac{3}{8}\\b=\frac{14}{8}\\b=\frac{7}{4}\\b=1\frac{3}{4}[/tex]
Hence Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B
