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
\n" ); document.write( "\n" ); document.write( "Please provide a detailed explanation of the steps taken in a problem like this. Thank You
\n" ); document.write( "

Algebra.Com's Answer #169456 by stanbon(75887)\"\" \"About 
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( "
\n" );