document.write( "Question 429946: Hi there, I would appreciate some help with the next problem:
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document.write( " Kristal can wax a floor in 16 minutes. One day her friend Perry helped her and it only took 5.76 minutes. How long would it take Perry to do it alone? \n" );
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Algebra.Com's Answer #298583 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! Kristal's rate = 1 floor in 16 min. = 1/16 floors per min. \n" ); document.write( "Working together their rate = 1 floor in 5.76 min. = 1/5.76 floors per min. \n" ); document.write( "We need to determine Perry's rate, so we need to equate their combined rate with the sum of the individual rates. \n" ); document.write( "Let Perry's time = x \n" ); document.write( "In equation form, we can write: \n" ); document.write( "1/16 + 1/x = 1/5.76 \n" ); document.write( "Solve for x: \n" ); document.write( "(x+16)/16x = 1/5.76 -> 5.76(x+16) = 16x -> 10.24x = 92.16 -> x = 9 \n" ); document.write( "So, Perry would take 9 mins. to do the floor alone. \n" ); document.write( " |