Height of Water in Tanks

[Guest]

Two level rectangular tanks are connected by a horizontal pipe with valve. When valve is closed, tanks contain water to given heights. When valve is open, the water moves from one tank to the other until the water is at the same level in both. Determine height of water in both when valve is open.

Answer provided with problem.

Illustration attached.

No idea how to solve.

[leesajohnson]

5.6 will be the height of the water in both the tanks when the valve is open.

[Guest]

Please explain how you obtained the answer.

[Guest]

Total water before opening of the valve = Total water after opening of the valve
4.5*5*8+6.5*6*6= x*5*8+x*6*6
( x is the final height of water)
40(x-4.5)=36/40*(6.5-x)
x(1+.9)=.9(6.5-x)
x=10.08/1.9=5.3

[Guest]

Ok, thanks again.