Problema Solution
a swimming club manager needs to fill the pool in 8hrs,and she knows that the built in water line with in take 12hrs to fill the pool.what should be the minimum rating of an auxiliary hose in hrs to fill a pool to get the pool fined on timed if both main line and auxiliary hose are used?
Answer provided by our tutors
the built in water line with in take 12 hrs to fill the pool thus it has rate is 1/12 pools per hour
let x = the hours that the auxiliary hose needs to feel the pool alone
1/x pools per hour the rate of the auxiliary hose
since the managers needs the pool to be field in 8 hours this means that the together time of the water line and the hose is 8 hours thus the together rate is 1/8 polls per hour
1/12 + 1/x = 1/8
by solving we find
x = 24 hr
click here to see the step by step oslution of the equation:
the rating of an auxiliary hose to fill a pool should be 24 hours.