document.write( "Question 600593: Working alone, Alex can build a fence in 8 hours, and Danny can build the same fence in 16 hours. If after working alone for 2 hours, Alex is joined by Danny, how many more hours will it take the two of them to complete the fence? \n" ); document.write( "

Algebra.Com's Answer #379395 by josmiceli(19441) $\"\"$ $\"About$

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What part of the job does Alex get done in
\n" ); document.write( "2 hours?
\n" ); document.write( "Alex's rate of working is ( 1 fence ) / ( 8 hrs )
\n" ); document.write( "The fraction of the job done is $\"+%281%2F8%29%2A2+=+1%2F4+\"$
\n" ); document.write( "There is 3/4 of the job left to do
\n" ); document.write( "----------
\n" ); document.write( "Add their rates of working to get their rate working together
\n" ); document.write( " $\"+1%2F8+%2B+1%2F16+=+%283%2F4%29%2Ft+\"$ ( where t is in hrs )
\n" ); document.write( "Multiply both sides by $\"+4t+\"$
\n" ); document.write( " $\"+t%2A%28+4%2F8+%2B+4%2F16+%29+=+3+\"$
\n" ); document.write( "Multiply both sides by $\"+16+\"$
\n" ); document.write( " $\"+t%2A%28+8+%2B+4+%29+=+48+\"$
\n" ); document.write( " $\"+t+=+48+%2F+12+\"$
\n" ); document.write( " $\"+t+=+4+\"$
\n" ); document.write( "It will take both of them 4 hrs to complete the fence \n" ); document.write( "

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