Answer:
Marie did not walk [tex]\dfrac{5}{2}[/tex] hours more, but she walk [tex]\dfrac{9}{8}[/tex] hours more .
Step-by-step explanation:
Given as :
The normal hours did Maria walks each day = [tex]\dfrac{3}{4}[/tex] hours
The hours did Maris walk today = [tex]\dfrac{5}{2}[/tex] times normal hours walk
Or, The hours did Maris walk today = [tex]\dfrac{5}{2}[/tex] × [tex]\dfrac{3}{4}[/tex] hours
Or, The hours did Maris walk today = [tex]\dfrac{5\times 3}{2\times 4}[/tex] hours
Or, The hours did Maris walk today = [tex]\dfrac{15}{8}[/tex] hours
Now, Let The difference between normal hours walk and today hours walk = x hours
So, x = [tex]\dfrac{15}{8}[/tex] hours - [tex]\dfrac{3}{4}[/tex] hours
Taking LCM
Or, x = [tex]\dfrac{15 - 6}{8}[/tex] hours
Or, x = [tex]\dfrac{9}{8}[/tex] hours
So, Maria walk [tex]\dfrac{9}{8}[/tex] hours more
Hence, Marie did not walk [tex]\dfrac{5}{2}[/tex] hours more, but she walk [tex]\dfrac{9}{8}[/tex] hours more . Answer