SOLUTION: Julio can fill a water tank in four minutes using a large hose. He takes 6 minutes using a smaller hose. How long will it take if he uses both hoses?

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Question 176040: Julio can fill a water tank in four minutes using a large hose. He takes 6 minutes using a smaller hose. How long will it take if he uses both hoses?
Found 2 solutions by Mathtut, josmiceli:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
large hose is 1/4 of the tank per minute
small hose is 1/6 of the tank per minute
:
together they can do:
:
%28%281%2F4%29%2B%281%2F6%29%29t=1(job)
:
%28%286%2F24%29%2B%284%2F24%29%29t=1
:
%2810%2F24%29t=1
:
%285%2F12%29t=1
:
highlight%28t=12%2F5%29 minutes
:
so 2.4 minutes

Answer by josmiceli(9649) About Me  (Show Source):
You can put this solution on YOUR website!
You must add the rates to get the combined rate
In words:
{1 water tank/time to fill with large hose) + (1 water tank/time to fill with small hose) = (1 water tank)/(time to fill with both hoses)
1%2F4+%2B+1%2F6+=+1%2Fx
multiply both sides by 24x
6x+%2B+4x+=+24
10x+=+24
x+=+2.4
It takes 2.4 minutes to fill the tank with both hoses