document.write( "Question 287709: An experienced roofer can roof a house in 26 hours. A beginning roofer needs 39 hours to complete the same job. Find how long it takes for the two of them to do the job together.\r
\n" ); document.write( "\n" ); document.write( "This is what i know:
\n" ); document.write( "I think I need to use direct or inverse variation equations\r
\n" ); document.write( "\n" ); document.write( "This is what I've tried:
\n" ); document.write( "y=k/x
\n" ); document.write( "26=k/39--Multiple by 39 to get k by itself
\n" ); document.write( "1014=k\r
\n" ); document.write( "\n" ); document.write( "The back of my textbook says the answer is 15.6 hours\r
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\n" ); document.write( "\n" ); document.write( "Thank you for your time.
\n" ); document.write( "This homework is due tomorrow.
\n" ); document.write( "I'm grateful for any help I can get
\n" ); document.write( "Thanks again
\n" ); document.write( "

Algebra.Com's Answer #208478 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
An experienced roofer can roof a house in 26 hours. A beginning roofer needs 39 hours to complete the same job. Find how long it takes for the two of them to do the job together
\n" ); document.write( "----------
\n" ); document.write( "Experienced rate = 1/26 roof/hr
\n" ); document.write( "---
\n" ); document.write( "Beginner rate = 1/39 roof/hr
\n" ); document.write( "-------
\n" ); document.write( "Together rate = 1/x roof/hr
\n" ); document.write( "----------------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/26 + 1/39 = 1/x
\n" ); document.write( "---
\n" ); document.write( "Multiply thru by 26*39x to get:
\n" ); document.write( "39x + 26x = 26*39
\n" ); document.write( "65x = 26*39
\n" ); document.write( "x = 78/5 = 15.6 hrs. (time to finish the roof if they work together)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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