Question

Sasha can mow 3/8 of an acre of grass in 45minutes.how many acres of grass does Sasha now per hour?

Answer 1

keeping in mind that an hour is 60 minutes.


`\bf \begin{array}{ccll} \stackrel{acre}{grass}&\stackrel{minutes}{time}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ (3)/(8)&45\\ g&60 \end{array}\implies \cfrac{(3)/(8)}{g}=\cfrac{45}{60}\implies \cfrac{(3)/(8)}{(g)/(1)}=\cfrac{45}{60}\implies \cfrac{3}{8}\cdot \cfrac{1}{g}=\cfrac{45}{60} \\\\\\ \cfrac{3}{8g}=\cfrac{45}{60}\implies 180=360g\implies \cfrac{180}{360}=g\implies \cfrac{1}{2}=g`