Question

And object is traveling at a steady speed of 8 2/3 mph how long will it take to object to travel 5 1/5 miles

Answer 1

`\bf \begin{array}{ccll} miles&hours\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 8(2)/(3)&1\\\\ 5(1)/(5)&h \end{array}\implies \cfrac{8(2)/(3)}{5(1)/(5)}=\cfrac{1}{h}\implies \cfrac{\quad (26)/(3)\quad }{(26)/(5)}=\cfrac{1}{h}\implies \cfrac{26}{3}\cdot \cfrac{5}{26}=\cfrac{1}{h} \\\\\\ \cfrac{5}{3}=\cfrac{1}{h}\implies 5h=3\implies h=\cfrac{3}{5}`

which is just 36 minutes.