document.write( "Question 198837: Jill builds a dog house in 4 hours. Todd builds the same type of dog house in 6 hours. How long will it take them to build a house together? \n" ); document.write( "

Algebra.Com's Answer #149314 by josmiceli(19441) $\"\"$ $\"About$

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Given:
\n" ); document.write( "Jill's rate of building: (1 dog house) / (4 hours)
\n" ); document.write( "Todd's rate of building: (1 dog house) / (6 hours)
\n" ); document.write( "Let $\"t\"$ = time to build 1 dog house working together
\n" ); document.write( "Add their rates to get rate with both working together
\n" ); document.write( " $\"1%2F4+%2B+1%2F6+=+1%2Ft\"$
\n" ); document.write( " $\"3%2F12+%2B+2%2F12+=+1%2Ft\"$
\n" ); document.write( "Multiply both sides by $\"12t\"$
\n" ); document.write( " $\"3t+%2B+2t+=+12\"$
\n" ); document.write( " $\"5t+=+12\"$
\n" ); document.write( " $\"t+=+2.4\"$
\n" ); document.write( "It will take them 2.4 hours working together \n" ); document.write( "

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