document.write( "Question 923805: one person cleans the floors in 4 hours another person cleans the floors in 7 hours how long would it take if they worked together? \n" ); document.write( "
Algebra.Com's Answer #560329 by ptaylor(2198)\"\" \"About 
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Let x=amount of time it takes both persons to clean the floor working together
\n" ); document.write( "Then both persons, working together, cleans the floor at the rate of 1/x of the floor per hour
\n" ); document.write( "The first person cleans floors at the rate of 1/4 of the floor per hour
\n" ); document.write( "The other person cleans floors at the rate of 1/7 of the floor per hour
\n" ); document.write( "So, our equation to solve is:
\n" ); document.write( "(1/4)+(1/7)=1/x multiply each term by 28x
\n" ); document.write( "7x+4x=28
\n" ); document.write( "11x=28
\n" ); document.write( "x=28/11=~~~~~2.55 hours\r
\n" ); document.write( "\n" ); document.write( "CK----- I'll use the fractions to avoid round off errors.
\n" ); document.write( "In (28/11) hours, the first person cleans (28/11)*(1/4) =7/11 of the floor
\n" ); document.write( "In (28/11) hours, the other person cleans (28/11)*(1/7)=4/11 of the floor
\n" ); document.write( "(7/11)+(4/11)=1---- one cleaned floor that is\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "
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