Question 919606

Suppose that one hose can fill a small pool in 4 hours, and a second hose can fill the pool in 3 hours. 
a) Write an equation whose solution gives the time needed for the hoses, working together, to fill the pool. 
b) Solve the equation in part (a) 


a.
<pre>
Let time it takes both to fill pool, be T

Slower hose fills pool in 4 hours, or {{{1/4}}} of pool in 1 hour
Faster hose fills pool in 3 hours, or {{{1/3}}} of pool in 1 hour
Equation to determine time taken to fill pool, with both hoses working: {{{highlight_green(highlight_green(1/4 + 1/3 = 1/T))}}}
</pre>b.
Solve for T.