cold water faucet in 4.8 minutes. If both faucets are open it fills in 3.9 minutes. How long will it take to fill the sink with just the hot water faucet open?

Question

A sink has two faucets: one for hot water and one for cold. The sink can be filled by a cold water faucet in 4.8 minutes. If both faucets are open it fills in 3.9 minutes. How long will it take to fill the sink with just the hot water faucet open?

Answer 1

Jalen, let's look at how much gets done each minute.

 

1/4.8 + 1/h = 1/3.9

3.9h + 18.72 = 4.8h

0.9h = 18.72

h = 20.8

 

20.8 minutes