Question

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

Answer 1

The rate is
`(1)/(6)` cups per hour

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
`(3)/(2)` h for
`(1)/(4)` cup;

then it will take 1 h for how many cups?

`= (1 * (1)/(4) )/((3)/(2) )`

`= (2)/(4 * 3)`

`= (2)/(12)`

`= (1)/(6)` cups

Therefore, the rate is
`(1)/(6)` cups per hour