document.write( "Question 1157207: A crew of 2 could put siding on a house in 30 hours. Another crew of 3 could do the same job in 24 hours. How long would it take all 5 people working together? \n" ); document.write( "

Algebra.Com's Answer #780032 by josmiceli(19441) $\"\"$ $\"About$

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The rate of working for the crew of 2 is:
\n" ); document.write( "[ 1 siding job ] / [ 30 hrs ]
\n" ); document.write( "The rate of working for the crew of 3 is:
\n" ); document.write( "[ 1 siding job ] / [ 24 hrs ]
\n" ); document.write( "Add their rates to get rate working together
\n" ); document.write( "Let $\"+t+\"$ = time in hrs for both crews to
\n" ); document.write( "do the job
\n" ); document.write( "------------------------
\n" ); document.write( " $\"+1%2F30+%2B+1%2F24+=+1%2Ft+\"$
\n" ); document.write( "multiply both sides by $\"+120t+\"$
\n" ); document.write( " $\"+4t+%2B+5t+=+120+\"$
\n" ); document.write( " $\"+9t+=+120+\"$
\n" ); document.write( " $\"+t+=+13.333+\"$
\n" ); document.write( " $\"+.333%2A60+=+20+\"$
\n" ); document.write( "All 5 working together take 13 hrs 20 min
\n" ); document.write( "------------------------------
\n" ); document.write( " $\"+.0333+%2B+.041667+=+1%2Ft+\"$
\n" ); document.write( " $\"+.075+=+9%2F120+\"$
\n" ); document.write( " $\"+.075+=+.075+\"$
\n" ); document.write( "OK \n" ); document.write( "

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