A cold water faucet can fill the bathtub in 12 minutes, and a hot water faucet can fill the bathtub in 18 minutes. The drain can empty the bathtub in 24 minutes. If both faucets are on and the drain is open, how long would it take to fill the bathtub?

It takes 10.3 minutes to fill the bath tub

Solution:

Given that,

A cold water faucet can fill the bathtub in 12 minutes

A hot water faucet can fill the bathtub in 18 minutes

The drain can empty the bathtub in 24 minutes

Let "t" be the time taken to fill the bath tub

Both faucets are on and the drain is open, therefore, in one minute, they can fill,

Here, negative sign means "drain can empty"

Thus, it takes 10.3 minutes to fill the bath tub

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