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Ruben put an empty cup underneath a leaking faucet. After 1 1/2 hours, Ruben had collected 1/4 cup of water. What is the rate, in cups per hour, at which the water is leaking from the faucet? A 1/6 B 3/8 C 8/3 D 6/1

Respuesta :

Answer:

The rate is [tex]\frac{1}{6}[/tex] cups per hour

Step-by-step explanation:

It took the faucet 1 1/2 hours, i.e 1.5 or 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:

If it takes [tex]\frac{3}{2}[/tex] h for [tex]\frac{1}{4}[/tex] cup;

then it will take 1 h for how many cups?

[tex]= \frac{1 \times \frac{1}{4} }{\frac{3}{2} }[/tex]

[tex]= \frac{2}{4 \times 3}[/tex]

[tex]= \frac{2}{12}[/tex]

[tex]= \frac{1}{6}[/tex] cups

Therefore, the rate is [tex]\frac{1}{6}[/tex] cups per hour

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