document.write( "Question 1120492: together it takes dawn and deb 2 hr 55 min to sort recyclables. alone dawn would require 2 more hours then deb how long would it take deb to do the the job alone \n" ); document.write( "
Algebra.Com's Answer #736156 by MathTherapy(10552)\"\" \"About 
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together it takes dawn and deb 2 hr 55 min to sort recyclables. alone dawn would require 2 more hours then deb how long would it take deb to do the the job alone
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Let time Deb takes be D
\n" ); document.write( "Then time Dawn takes = D + 2
\n" ); document.write( "We then get: \"matrix%281%2C3%2C+1%2FD+%2B+1%2F%28D+%2B+2%29%2C+%22=%22%2C+1%2F%282%2655%2F60%29%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+1%2FD+%2B++1%2F%28D+%2B+2%29%2C+%22=%22%2C+1%2F%2835%2F12%29%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+1%2FD+%2B+1%2F%28D+%2B+2%29%2C+%22=%22%2C+12%2F35%29\"
\n" ); document.write( "35(D + 2) + 35D = 12D(D + 2) ------ Multiplying by LCD, 35D(D + 2)
\n" ); document.write( "\"matrix%281%2C3%2C+35D+%2B+70+%2B+35D%2C+%22=%22%2C+12D%5E2+%2B+24D%29\"
\n" ); document.write( "
\n" ); document.write( "\"matrix%281%2C3%2C+6D%5E2+-+30D+%2B+7D+-+35%2C+%22=%22%2C+0%29\"
\n" ); document.write( "6D(D - 5) + 7(D - 5) = 0
\n" ); document.write( "(D - 5)(6D + 7) = 0
\n" ); document.write( "Time Deb takes, or \"highlight_green%28matrix%281%2C4%2C+D%2C+%22=%22%2C+5%2C+hours%29%29\" OR \"matrix%281%2C4%2C+D%2C+%22=%22%2C++-+7%2F6%2C+%22%28IGNORE%29%22%29\" \n" ); document.write( "
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