SOLUTION: A tap can fill a water tank in 5 hrs, but there is whole in the tank....so it takes 3 hrs more to fill it.......if the tap is closed after filling the tank...how much time the whol

Question 748932: A tap can fill a water tank in 5 hrs, but there is whole in the tank....so it takes 3 hrs more to fill it.......if the tap is closed after filling the tank...how much time the whole will take to empty the filled tank??????????
Answer by nilan(17) (Show Source): You can put this solution on YOUR website!
let the filling rate and leaking rate of the tank p and q respectively.
without a whole it takes 5hrs
so the volume of the tank is 5p
with a whole the filling rate is (p-q) so it get additional 3 hours
so 8hrs to fill it
so the volume of tank is 8(p-q)
so

-----------(A)
let t is the time take to empty the tank
so we can write the leaking rate =

so this is equal to q
---------(B)
substitute p from equation A

t = 13 1/3 hours
so it will take 13 hours and 20 minutes to empty the tank
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