document.write( "Question 625945: It takes 2 people together 12 minutes to wash a car. One person by himself takes 21 minutes. How long would it take the other person to wash the car?\r
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document.write( "I know it cannot be that one can wash the car in 6 minutes but I am stuck with this question.\r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #393930 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! It takes 2 people together 12 minutes to wash a car. \n" ); document.write( "One person by himself takes 21 minutes. \n" ); document.write( " How long would it take the other person to wash the car? \n" ); document.write( ": \n" ); document.write( "Time varies inversely with no. of people, (more people, less time) \n" ); document.write( "Therefore a typical shared work equation can be used. \n" ); document.write( ": \n" ); document.write( "Let a = time required by the other person alone \n" ); document.write( "let the completed job = 1 \n" ); document.write( "Each person will do a fraction of the job, the two fractions add up to one. \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "multiply thru by 21a to clear the denominators, results \n" ); document.write( "12a + 21(12) = 21a \n" ); document.write( "252 = 21a - 12a \n" ); document.write( "252 = 9a \n" ); document.write( "a = 252/9 \n" ); document.write( "a = 28 minutes for the 2nd person to do it \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can check this on a calc, enter 12/21 + 12/28 \n" ); document.write( " |