document.write( "Question 131422: Hello I submitted this problem earlier but, forgot the 2 in my email. Could I still have help in solving it. Thank you. Sam takes 4 days to brick a home. He estimates his trainee takes 6 days. If they work together how much time would it take to brick a home? \n" ); document.write( "

Algebra.Com's Answer #95929 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of working
\n" ); document.write( "( 1 job/4 days) + (1 job/6 days) = (1 job/x days)
\n" ); document.write( " $\"1%2F4+%2B+1%2F6+=+1%2Fx\"$
\n" ); document.write( "multiply both sides by $\"4%2A6%2Ax\"$
\n" ); document.write( " $\"6x+%2B+4x+=+24\"$
\n" ); document.write( " $\"10x+=+24\"$
\n" ); document.write( " $\"x+=+2.4\"$
\n" ); document.write( "It takes them 2.4 days working together
\n" ); document.write( "check:
\n" ); document.write( " $\"1%2F4+%2B+1%2F6+=+1%2Fx\"$
\n" ); document.write( " $\"1%2F4+%2B+1%2F6+=+1%2F2.4\"$
\n" ); document.write( "multiply both sides by 24
\n" ); document.write( " $\"6+%2B+4+=+10\"$
\n" ); document.write( " $\"10+=+10\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );