document.write( "Question 946670: Officials begin to release water from a full man-made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. How long does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed. \n" ); document.write( "
Algebra.Com's Answer #577523 by stanbon(75887)\"\" \"About 
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Officials begin to release water from a full man-made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. How long does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed.
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\n" ); document.write( "empty rate = 1/16 job/week
\n" ); document.write( "--------
\n" ); document.write( "fill rate = 1/30 job/week
\n" ); document.write( "-------
\n" ); document.write( "Together rate = 1/x job/week
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\n" ); document.write( "rate - rate = together rate
\n" ); document.write( "1/16 - 1/30 = 1/x
\n" ); document.write( "-----
\n" ); document.write( "30x - 16x = 16*30
\n" ); document.write( "14x = 16*30
\n" ); document.write( "x = (8/7)30
\n" ); document.write( "x = 34.29 weeks (time to empty the lake)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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