When Ruby works out, she spends 2 minutes stretching for every 15 minutes of exercise. If Ruby spends 15 minutes stretching, how long did she spend exercising?

Respuesta :

The ratio of time spend for stretching to time spend for exercise remain same.

Equate the ratio of time spend for stretching to time spend for exercise in both cases.

[tex]\begin{gathered} \frac{2}{15}=\frac{15}{x} \\ x=\frac{15\cdot15}{2} \\ =112.5 \end{gathered}[/tex]

So Ruby spend 112 and a half minute to spend 15 minutes in stretching.

So answer is 112.5 min or

[tex]112\frac{1}{2}[/tex]