document.write( "Question 945758: officils begin to empty a man made lake at a rate that wouldempty the lake in 18 weeks but a river that can fill the lake in 30 weeks is replenishing the lake at the same time, how long would it take to empty the lake \n" ); document.write( "

Algebra.Com's Answer #577066 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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officials begin to empty a man made lake at a rate that would empty the lake in 18 weeks
\n" ); document.write( " but a river that can fill the lake in 30 weeks is replenishing the lake at the same time,
\n" ); document.write( " how long would it take to empty the lake
\n" ); document.write( ":
\n" ); document.write( "let t = time to empty the lake in this scenario
\n" ); document.write( "let the completed job = 1 (an empty lake)
\n" ); document.write( ":
\n" ); document.write( " $\"t%2F18\"$ - $\"t%2F30\"$ = 1
\n" ); document.write( "Multiply equation by 90
\n" ); document.write( "90* $\"t%2F18\"$ - 90* $\"t%2F30\"$ = 1(90)
\n" ); document.write( "Cancel the denominators
\n" ); document.write( "5t - 3t = 90
\n" ); document.write( "2t = 90
\n" ); document.write( "t = 45 weeks to empty the lake \n" ); document.write( "

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