document.write( "Question 228212: A farmer working with his son needs 3 hours to plow a field. The farmer working alone can plow the field in 12 hours. How long would it take the son working alone to plow the field?\r
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document.write( "Please provide a detailed explanation of the steps taken in a problem like this. Thank You \n" );
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Algebra.Com's Answer #169456 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A farmer working with his son needs 3 hours to plow a field. The farmer working alone can plow the field in 12 hours. How long would it take the son working alone to plow the field? \n" ); document.write( "-------------- \n" ); document.write( "Together DATA: \n" ); document.write( "time = 3 hrs/job ; rate = 1/3 job/hr \n" ); document.write( "-------------- \n" ); document.write( "Farmer DATA: \n" ); document.write( "time = 12 hrs/job ; rate = 1/12 job/hr \n" ); document.write( "----------------- \n" ); document.write( "Son's DATA: \n" ); document.write( "time = x hrs/job ; rate = 1/x job/hr \n" ); document.write( "----------------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/12 + 1/x = 1/3 \n" ); document.write( "Multiply thru by 12x to get: \n" ); document.write( "x + 12 = 4x \n" ); document.write( "3x = 12 \n" ); document.write( "x = 4 hrs (time the son requires to do the job alone) \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |