document.write( "Question 992308: Tammy and Cheryl are building a bridge over a small river. Tammy can do the job alone in 24 hours. Cheryl can do the job alone in 28 hours. Tammy worked on the project alone 4 hours before Cheryl joined her. The two then finished the job together. How long did it take the two to finish the job that Tammy had started alone. \n" ); document.write( "
Algebra.Com's Answer #611936 by josmiceli(19441)\"\" \"About 
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What fraction of the job did Tammy get
\n" ); document.write( "done in 4 hrs?
\n" ); document.write( "[ fraction of job ] = [ her rate of working ] x [ hrs worked ]
\n" ); document.write( "\"+%28+1%2F24+%29%2A4+=+1%2F6+\"
\n" ); document.write( "That means there is \"+5%2F6+\" of the job left to do
\n" ); document.write( "when Cheryl joined her
\n" ); document.write( "------------------------
\n" ); document.write( "Add their rates of working to get their
\n" ); document.write( "rate working together
\n" ); document.write( "Let \"+t+\" = time ime hrs for the both of them
\n" ); document.write( "to do \"+5%2F6+\" of the job
\n" ); document.write( "\"+1%2F24+%2B+1%2F28+=+%28%28+5%2F6+%29%29%2Ft+\"
\n" ); document.write( "Multiply both sides by \"+2+\"
\n" ); document.write( "\"+1%2F12+%2B+1%2F14+=+%28%28+5%2F3+%29%29%2Ft+\"
\n" ); document.write( "Multiply both sides by \"+84t+\"
\n" ); document.write( "\"+7t+%2B+6t+=+140+\"
\n" ); document.write( "\"+13t+=+140+\"
\n" ); document.write( "\"+t+=10.77+\"
\n" ); document.write( "It takes them 10.77 hrs to finish the job working together
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2F24+%2B+1%2F28+=+%28%28+5%2F6+%29%29%2Ft+\"
\n" ); document.write( "\"+1%2F24+%2B+1%2F28+=+%28%28+5%2F6+%29%29%2F10.77+\"
\n" ); document.write( "\"+1%2F24+%2B+1%2F28+=+5%2F64%2C62+\"
\n" ); document.write( "\"+.041667+%2B+.035714+=+.077375+\"
\n" ); document.write( "\"+.077381+=+.077375+\"
\n" ); document.write( "error due to rounding off, I think
\n" ); document.write( "Recheck my math
\n" ); document.write( "
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