A medium water hose can fill a pool in 30 minutes. A larger water hose can fill the same pool in 20 minutes. If both hoses are turned on at the same time, how long will it take to fill the pool? | What equation can be used to solve this work problem? | How many minutes will it take both hoses to fill the pool?

The medium hose fills 1/30 of the pool per minute, and the larger hose fills 1/20 per minute. Together, their rate is 1/30 + 1/20 = 1/t; using a common denominator, that is 2/60 + 3/60 = 5/60 = 1/12. So both hoses fill the pool in 12 minutes, which is choice B.

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