Question

Shanae bikes 5 miles to the park in 30 minutes and 3 miles to the library in 45 minutes. What was her average speed?

Short answer

The average speed of the Shanae’s bike is 0.107 miles per minute.

Step-by-step solution

Step 1. Given information.

Shanae bikes 5 miles to the park in 5 minutes and 3 miles to the library in 45 minutes.

Step 2. To find the average speed.

The average speed of the bike is$=\frac{\mathrm{Total}\mathrm{distance}\mathrm{travelled}\mathrm{by}\mathrm{bike}}{\mathrm{Total}\mathrm{taken}\mathrm{time}\mathrm{by}\mathrm{bike}}$

So,

$\begin{array}{l}\frac{\mathrm{Total}\mathrm{distance}\mathrm{travelled}\mathrm{by}\mathrm{bike}}{\mathrm{Total}\mathrm{taken}\mathrm{time}\mathrm{by}\mathrm{bike}}\\ =\frac{5\text{miles+}3\text{miles}}{30\text{minutes}+45\text{minutes}}\\ =\frac{8\text{miles}}{75\text{minutes}}\\ =0.107\text{milesperminute}\end{array}$

Step 3. Conclusion.

Hence, the average speed of the Shanae’s bike is 0.107 miles per minute.