Q24. - Algebra 1

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?

Step-by-Step Solution

Answer

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

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,

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

Step 3. Conclusion.

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