Problema Solution

Normally it takes 3 hours to fill the pool, but Bob left the drain partly open and today it took 5 hours to fill. After the pool was full, Bob turned off the hose and went home not realizing he left the drain open. How long until the pool is empty again?

Answer provided by our tutors

the rate of the hose is 1/3 pools per hour


lets assume the drain needs x hour the empty to pool


the rate of the drain is 1/x pools per hour


1/3 - 1/x = 1/5


by solving we find:


x = 7.5 hr


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the pool will be empty in 7.5 hours.