document.write( "Question 748100: A farmer can plow a field in 4 days by using a tractor. His hired hand can plow the same field in 6days by using a smaller tractor. How many days will be required for the plowing if they work together? \n" ); document.write( "
Algebra.Com's Answer #455327 by stanbon(75887)\"\" \"About 
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A farmer can plow a field in 4 days by using a tractor. His hired hand can plow the same field in 6days by using a smaller tractor. How many days will be required for the plowing if they work together?
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\n" ); document.write( "Farmer DATA:
\n" ); document.write( "time = 4 days/job ; rate = 1/4 job/day
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\n" ); document.write( "Hired DATA:
\n" ); document.write( "time = 6 days/job ; rate = 1/6 job/day
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\n" ); document.write( "Together DATA:
\n" ); document.write( "time = x days/job ; rate = 1/x job/day
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\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/4 + 1/6 = 1/x
\n" ); document.write( "6x + 4x = 24
\n" ); document.write( "10x = 24
\n" ); document.write( "x = 2.4 hours (time to do the job together)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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