document.write( "Question 1090886: Allison does a route in 60 minutes; with her assistant working with her, the route is done in 40 minutes. How long would it take the assistant to do the route by herself?\r
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Algebra.Com's Answer #705339 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Allison does a route in 60 minutes; with her assistant working with her, the route is done in 40 minutes. \n" ); document.write( " How long would it take the assistant to do the route by herself? \n" ); document.write( ": \n" ); document.write( "let t = time required by the assistant working alone \n" ); document.write( "let the completed job = 1 \n" ); document.write( ": \n" ); document.write( "A typical shared work equation \n" ); document.write( "Each does a fraction of the job; the two fractions add up to 1 \n" ); document.write( " \n" ); document.write( "multiply equation by 60t, cancel the denominators \n" ); document.write( "40t + 60(40) = 60t \n" ); document.write( "40t + 2400 = 60t \n" ); document.write( "2400 = 60t + 40t \n" ); document.write( "2400 = 20t \n" ); document.write( "t = 2400/20 \n" ); document.write( "t = 120 min, the assistant alone \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Just looking at it you can see Al did 2/3 and Assistant did 1/3 \n" ); document.write( " |