document.write( "Question 924087: X and y together can build a room in 25 days. they work together for 15 days and then Y goes away. X finishes the rest of the work in 20 days. How long would each take to finish the work separately. \n" ); document.write( "
Algebra.Com's Answer #560584 by josmiceli(19441)\"\" \"About 
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In \"+15+\" days, they will finish \"+15%2F25+=+3%2F5+\" of the room
\n" ); document.write( "There is \"+2%2F5+\" of the room left to build
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\n" ); document.write( "After Y goes away, X's rate of working is:
\n" ); document.write( "\"+%282%2F5%29+%2F+20+\" rooms / days
\n" ); document.write( "\"+%282%2F5%29+%2F+20+=+1%2F50+\"
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\n" ); document.write( "Plug this result into equation for working together:
\n" ); document.write( "Let Y's rate of working = \"+1%2Fd+\" rooms/days
\n" ); document.write( "\"+1%2F50+%2B+1%2Fd+=+1%2F25+\"
\n" ); document.write( "\"+1%2Fd+=+2%2F50+-+1%2F50+\"
\n" ); document.write( "\"+1%2Fd+=+1%2F50+\"
\n" ); document.write( "----------------
\n" ); document.write( "Working separately, X and Y both
\n" ); document.write( "work at the rate of ( 1 room ) / ( 50 days )
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