A cold-water faucet can fill a sink in 1212 min, and a hot-water faucet can fill it in 1515 min. the drain can empty the sink in 2525 min. if both faucets are on and the drain is open, how long will it take to fill the sink?

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 min, so the part of sink filed in 1 minute would be .

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be .

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be .

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is open would be:

Make a common denominator:

Therefore, it will take 9.1 minutes to fill the sink.

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step-by-step explanation: