document.write( "Question 947264: A painting job can be completed by 3 painters in 17 days. If 12 more painters join the team 2 days after starting work on the job, then how many more days are required to complete the job? \n" ); document.write( "

Algebra.Com's Answer #577958 by josmiceli(19441) $\"\"$ $\"About$

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What fraction of the job can the $\"+3+\"$ painters
\n" ); document.write( "get done in $\"+2+\"$ days?
\n" ); document.write( "They can do $\"+2%2F17+\"$ of the job
\n" ); document.write( "That leaves $\"+15%2F17+\"$ of the job left to do
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\n" ); document.write( "It is assumed ( but they don't say it ) that the
\n" ); document.write( "extra $\"+12+\"$ painters work at the same rate as
\n" ); document.write( "the first $\"+3+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "There are $\"+3+%2B+12+=+15+\"$ painters total after
\n" ); document.write( "the 1st 2 days
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+15+=+3%2A5+\"$
\n" ); document.write( " $\"+5+\"$ times as many painters can work at
\n" ); document.write( " $\"+5+\"$ times the rate, so their rate is
\n" ); document.write( "( 1 job ) / ( 17/5 days ) = $\"+5%2F17+\"$
\n" ); document.write( "Now I can say:
\n" ); document.write( " $\"+5%2F17+=+%2815%2F17%29+%2F+t+\"$ ( t is time in days )
\n" ); document.write( "Multiply both sides by $\"+17t+\"$
\n" ); document.write( " $\"+5t++=+15+\"$
\n" ); document.write( " $\"+t+=+3+\"$
\n" ); document.write( "3 days are required to finish the job
\n" ); document.write( "hope I got it\r
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