Question

Jennifer is mowing the lawn. After 15 minutes, or 14 of an hour, Jennifer has mowed 23 of the lawn. At this rate, how long will it take Jennifer to mow the entire lawn?

Answer 1

Answer:

$22.5\:\text{minutes}$

Step-by-step explanation:

In 15 minutes, Jennifer has mowed $\frac{2}{3}$ of the lawn (given in problem). This means that it will take her $\frac{3}{2}\cdot 15=22.5\:\text{minutes}$ to mow the entire lawn, assuming a constant rate.

Equation:

Let $x$ represent the entire lawn:

$\frac{2}{3}x=15,\\x=\frac{15}{\frac{2}{3}}=15\cdot \frac{3}{2}=\boxed{22.5}$