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

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

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

it will take 1 h for how many cups?

`= (1 * (1)/(4) )/((3)/(2) )= (2)/(4 * 3)= (2)/(12)= (1)/(6) cups`

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