Question

A tub contains two faucets. Faucet A can fill the tub in 15 minutes and faucet B can fill the tub in 10 minutes. How long will it take to fill the tub using both faucets?

(A) 6 min
(B) 7.5 min
(C) 8 min
(D) 25 min
(E) Not enough info

Answer 1

If:
A = amount of time it takes faucet A to fill the tub alone
B = amount of time it takes faucet B to fill the tub alone
t = amount of time it takes both faucets to fill the tub

Then the following equation applies:

\[\frac{AB}{A + B} = t\]

In this case:
A = 15
B = 10

so:

\[\frac{(15)(10)}{15 + 10} = t\]

Solve for \(t\)

Answer 2

@Hero I got 6 c:

Answer 3

Correct

Answer 4

Working together, Faucets A and B will fill the tub in 6 minutes.

Answer 5

Thank you! c: