document.write( "Question 32727This question is from textbook algebra
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document.write( "Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 2 hours, while it takes Rachel 4 hours to finish the same job. If mark abd Rachel will work together on the job, and the cost of labor is $45 per housr, what should the labor estimate be? \n" );
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Algebra.Com's Answer #19181 by mukhopadhyay(490)![]() ![]() ![]() You can put this solution on YOUR website! Let the time taken to do the job by Mark and Rachel together be t hours \n" ); document.write( "Mark does t/2 portion of the job; \n" ); document.write( "Rachel does t/4 portion of the job; \n" ); document.write( "Mark's portion + Rachel's portion = 1 \n" ); document.write( "=> t/2 + t/4 = 1 \n" ); document.write( "=> 2t+t = 4 \n" ); document.write( "=> t = 4/3; \n" ); document.write( "Time taken by Smith Landscaping Company to finish the job is 4/3 hours. \n" ); document.write( "Cost of labour is $45 per hour; cost for 4/3 hours = 45(4/3) = $60. \n" ); document.write( "Answer: $60.00 \n" ); document.write( " |