Answer:
The rate is [tex]\frac{1}{6}[/tex] 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 [tex]\frac{3}{2} h[/tex] for [tex]\frac{1}{4}[/tex] cup
it will take 1 h for how many cups?
[tex]= \frac{1 \times \frac{1}{4} }{\frac{3}{2} }= \frac{2}{4 \times 3}= \frac{2}{12}= \frac{1}{6} cups[/tex]
Hence, the rate is [tex]\frac{1}{6}[/tex] cups per hour
