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
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document.write( "This is what i know:
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document.write( "I think I need to use direct or inverse variation equations\r
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document.write( "This is what I've tried:
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document.write( "y=k/x
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document.write( "26=k/39--Multiple by 39 to get k by itself
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document.write( "1014=k\r
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document.write( "The back of my textbook says the answer is 15.6 hours\r
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document.write( "Thank you for your time.
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document.write( "This homework is due tomorrow.
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document.write( "I'm grateful for any help I can get
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document.write( "Thanks again \n" );
document.write( "
Algebra.Com's Answer #208478 by stanbon(75887)![]() ![]() ![]() 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) \n" ); document.write( "====================================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |