Question

I NEED HELP

Kaylee put an empty cup underneath a leaking faucet. After 1 1/2 hours, Kaylee collected 1/4 cup of water. What is the rate in cups per hour, at which the water is leaking from the faucet.

Question 2 options:

1/6 cups per hour


3/8 cups per hour


8/3 cups per hour


6/1 cups per hour

Answer 1

`(1)/(6)\ \text{cups per hour}`

Explanation:

V = volume

r = rate

t = time

Use formula
`V=r\cdot t` connecting volume, rate and time.

In your case,

`V=(1)/(4)` cup of water

`t=1(1)/(2)` hours

r is unknown.

Substitute all data into the formula:

`(1)/(4)=r\cdot 1(1)/(2)\\ \\(1)/(4)=r\cdot (3)/(2)\\ \\2\cdot (1)/(4)=3r\ [\text{Multipled by 2}]\\ \\3r=(1)/(2)\\ \\r=((1)/(2))/(3)\ [\text{Divided by 3}]\\ \\r=(1)/(6)\ \text{cups per hour}`