Work and Rate Problems Practice Test

Two garden hoses can fill a swimming pool. Hose A fills at 15 gallons per minute, and Hose B fills at 20 gallons per minute. If the pool holds 1350 gallons and Hose A runs for 20 minutes before Hose B is turned on, how many additional minutes will it take with both hoses running to fill the pool?

A swimming pool is being filled and drained simultaneously. The inlet pipe fills the pool at 40 gallons per minute, while the drain removes water at 25 gallons per minute. If the pool starts with 200 gallons and has a capacity of 800 gallons, how long will it take to fill the pool completely?