Question

Lauren jobs at a rate of 2 miles every 2/5 hour. At that rate, how long will it take her to jog 11 miles?

Answer 1

`\bf \begin{array}{ccll} miles&hour\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2&(2)/(5)\\\\ 11&h \end{array}\implies \cfrac{2}{11}=\cfrac{\quad (2)/(5)\quad }{h}\implies \cfrac{2}{11}=\cfrac{\quad (2)/(5)\quad }{(h)/(1)} \\\\\\ \cfrac{2}{11}=\cfrac{2}{5}\cdot \cfrac{1}{h}\implies \cfrac{2}{11}=\cfrac{2}{5h}\implies 10h=22\implies h=\cfrac{22}{10} \\\\\\ h=\cfrac{11}{5}\implies h=2(1)/(5)`