Question

: Ruben put an empty cup underneath a leaking faucet. After 1 1 2 112 hours, Ruben had collected 1 4 14 cup of water. What is the rate, in cups per hour, at which the water is leaking from the faucet?

Answer 1

Answer:

The rate is $\frac{1}{6}$ cups per hour

Step-by-step explanation:

It took the faucet 1 1/2 hours equivalent 3/2 hours to fill 1/4 cup by leaking

We need to find the rate in terms of cups that can be filled by water in 1 hour.

Using unitary method:

it takes $\frac{3}{2} h$ for $\frac{1}{4}$ cup

it will take 1 h for how many cups?

$= \frac{1 \times \frac{1}{4} }{\frac{3}{2} }= \frac{2}{4 \times 3}= \frac{2}{12}= \frac{1}{6} cups$

Hence, the rate is $\frac{1}{6}$ cups per hour