document.write( "Question 989011: Robert can paint a room in 12 hours. Dennis and Vince can paint the room in 10 hours and 9 hours, respectively. If Dennis and Vince work together for 2 hours, how long will it take Robert to finish the job?\r
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Algebra.Com's Answer #609469 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Robert can paint a room in 12 hours. Dennis and Vince can paint the room in 10 hours and 9 hours, respectively. If Dennis and Vince work together for 2 hours, how long will it take Robert to finish the job? \n" ); document.write( "--- \n" ); document.write( "Robert rate:: 1/12 job/hr \n" ); document.write( "Dennis rate:: 1/10 job/hr \n" ); document.write( "Vince rate:: 1/9 job/hr \n" ); document.write( "--------- \n" ); document.write( "time*rate = work done \n" ); document.write( "------------- \n" ); document.write( "2(1/10 + 1/9) = 2(19/90) = 19/45 job done by D and V together \n" ); document.write( "---- \n" ); document.write( "(1/12)x = 1 - (19/45) \n" ); document.write( "----- \n" ); document.write( "(1/12)x = 26/45 \n" ); document.write( "x = 12*26/45 \n" ); document.write( "x = 6.93 hours (time for Robert to finish the job) \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |