Question

Sarah wanted to lose some weight, so she planned a day of exercising. She spent a total of 4 hours riding her bike and jogging. She biked for 35 miles and jogged for 6 miles. Her rate for jogging was 10 mph less than her biking rate. What was her rate when jogging?

Answer 1

Consider the relation,

`\text{Speed}=\frac{\text{ Distance}}{\text{ Time}}`

The total time taken by Sarah for biking and jogging is 4 hours.

Given that her speed for biking was 10 mph, the time taken to bike 35 miles is calculated as,

`\begin{gathered} T_b=(35)/(10) \\ T_b=3.5\text{ hours} \end{gathered}`

So, out of the total 4 hours of exercise, Sarah spent 3.5 hours riding her bike.

The remaining 0.5 hour must have been spent on jogging,