document.write( "Question 1022901: blueberry can do a certain job in 10 hours and cheescake can do it in 12 hours. after blueberry and cheesecake have been working together for 1 hour, Duhat joins them, and the three completed the job in 3 more hours. How long will it take duhat to do the job alone? \n" ); document.write( "
Algebra.Com's Answer #638457 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "PERSON                 RATES in JOBS/HOUR\r\n" );
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document.write( "blueberry                 \"1%2F10\"\r\n" );
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document.write( "cheesecake                \"1%2F12\"\r\n" );
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document.write( "blueberry&cheesecake     \"1%2F10%2B1%2F12=22%2F120=11%2F60\"\r\n" );
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document.write( "duhat                     \"1%2Fx\"\r\n" );
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\n" ); document.write( "\n" ); document.write( "Work rates rule, RT=J relates rate, time, and amount of job or jobs.\r
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\n" ); document.write( "\n" ); document.write( "The ONE job was split into two time parts, in 1 hour and 3 hour parts. Only one variable is unknown when the data formed into an equation.\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28%2811%2F60%29%2A1%2B%2811%2F60%2B1%2Fx%29%2A3=1%29\"-----not the answer; but the equation which will contain the answer, once solved for x.\r
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\n" ); document.write( "\n" ); document.write( "ALGEBRAIC SOLVING STEPS
\n" ); document.write( "\"60x%2811%2F60%29%2B60x%2811%2F60%2B1%2Fx%29%2A3=60x\"
\n" ); document.write( "\"11x%2B33x%2B60%2A3=60x\"
\n" ); document.write( "\"44x%2B180=60x\"
\n" ); document.write( "\"180=16x\"
\n" ); document.write( "\"45=4x\"
\n" ); document.write( "\"x=45%2F4\"
\n" ); document.write( "\"highlight%28x=11%261%2F4%29\"------hours for duhat to do one job alone.*\r
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\n" ); document.write( "\n" ); document.write( "* Mistake fixed. \n" ); document.write( "
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