Question 366852
The first hose fills at the rate of 1/T tank per hour
The other hose fills at the rate of 1/(T/2)=2/T tank per hour
We are told that both hoses working together fill at the rate of 1/12 tank per hour
So, our equation to solve is:
1/T + 2/T=1/12 multiply each term by 12T
12+24=T or
T=36 hours

CK
1/36 +2/36=1/12
3/36=1/12
1/12=1/12

Hope this helps---ptaylor