Question

Mario walked at a rate of 2/3 mile every 10 minutes. What was his rate in person hour? A.)4 B)6 2/3 C)9 D)15

Answer 1

`1~\text{h}=60~\mathrm{min}~~\Leftrightarrow~~\boxed{\begin{array}{c} 1\mathrm{~min}=(1)/(60)\mathrm{~h} \end{array}}`

Therefore,


`(2)/(3)~\frac{\mathrm{mile}}{10\mathrm{~min}}\\ \\ \\ =(2)/(3)~\frac{\mathrm{mile}}{10\cdot ((1)/(60)~\mathrm{min})}\\ \\ \\ =(2)/(3)~\frac{\mathrm{mile}}{(10)/(60)~\mathrm{min}}\\ \\ \\ =(2)/(3)~\frac{\mathrm{mile}}{(1)/(6)~\mathrm{min}}\\ \\ \\ =(2)/(3\cdot (1)/(6))~\frac{\mathrm{mile}}{\mathrm{min}}\\ \\ \\ =(2)/(((3)/(6)))~\frac{\mathrm{mile}}{\mathrm{min}}\\ \\ \\ =2\cdot (6)/(3)~\frac{\mathrm{mile}}{\mathrm{min}}\\ \\ \\ =2\cdot 2~\frac{\mathrm{mile}}{\mathrm{min}}\\ \\ \\ =4~\frac{\mathrm{miles}}{\mathrm{min}}`