Question

While exercising Ricardo walked 1/8 of a mile in 1/9 of an hour. At this rate, how far will he have travelled after an hour?

Answer 1

`\bf \begin{array}{ccll} miles&hours\\ \cline{1-2}\\ (1)/(8)&(1)/(9)\\\\ x&1 \end{array}\implies \cfrac{~~(1)/(8)~~}{x}=\cfrac{~~(1)/(9)~~}{1}\implies \cfrac{~~(1)/(8)~~}{(x)/(1)}=\cfrac{1}{9}\implies \cfrac{1}{8x}=\cfrac{1}{9} \\\\\\ 9=8x\implies \cfrac{9}{8}=x\implies 1(1)/(8)=x`