document.write( "Question 626459: Jay’s basement flooded last night. He has two pumps he can use to drain the water.
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document.write( "Pump #1 can drain the basement in 5 hours. Working together, the two pumps can
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document.write( "drain the basement in 2 hours. How long would it take Pump #2 to drain the basement
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document.write( "working alone? \n" );
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Algebra.Com's Answer #394175 by nerdybill(7384) You can put this solution on YOUR website! Jay’s basement flooded last night. He has two pumps he can use to drain the water. \n" ); document.write( "Pump #1 can drain the basement in 5 hours. Working together, the two pumps can \n" ); document.write( "drain the basement in 2 hours. How long would it take Pump #2 to drain the basement working alone? \n" ); document.write( ". \n" ); document.write( "Let x = time (hours) it takes for pump #2 alone \n" ); document.write( "then \n" ); document.write( "2(1/5 + 1/x) = 1 \n" ); document.write( "multiplying both sides by 5x: \n" ); document.write( "2(x + 5) = 5x \n" ); document.write( "2x + 10 = 5x \n" ); document.write( "10 = 3x \n" ); document.write( "10/3 = x \n" ); document.write( "or \n" ); document.write( "3 hours and 20 minutes = x \n" ); document.write( " |