Question

if rain is falling at 3 inches per hour, how many hours will it take to fill a cup that is 14 inches deep one - half of the way full?

Explanation:

Step1: Calculate target depth

First, find half the cup's depth:
$\frac{1}{2} \times 14 = 7$ inches

Step2: Solve for time needed

Divide target depth by rain rate:
$\text{Time} = \frac{7}{3} \approx 2.33$ hours

Answer:

It will take $\frac{7}{3}$ (or approximately 2.33) hours.