document.write( "Question 698556: A father can do a job in a certain cumber of hours. His son takes twice as long as to do the job. Working together, they can do the job in 6 hours. How many hours does it take the father to do the job alone?
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Algebra.Com's Answer #430815 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A father can do a job in a certain cumber of hours. His son takes twice as long as to do the job. Working together, they can do the job in 6 hours. How many hours does it take the father to do the job alone? \n" ); document.write( "------------------ \n" ); document.write( "The father works as fast as 2 sons, equal to 3 sons taking 6 hours \n" ); document.write( "--> each son takes 18 hours \n" ); document.write( "--> father takes 9 hours. \n" ); document.write( "========================== \n" ); document.write( "The hard way: \n" ); document.write( "The son takes x hours alone \n" ); document.write( "--> the son does 1/x of the job per hour \n" ); document.write( "The father does 2/x per hour \n" ); document.write( "Together, they do 1/x + 2/x per hour = 1/6 \n" ); document.write( "1/x + 2/x = 1/6 \n" ); document.write( "1 + 2 = x/6 \n" ); document.write( "x/6 = 3 \n" ); document.write( "x = 18 hours for the son \n" ); document.write( "--> 9 hours for the father \n" ); document.write( " \n" ); document.write( " |