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)![]() ![]() ![]() You can put this solution on YOUR website! 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( "----- \n" ); document.write( "Farmer DATA: \n" ); document.write( "time = 4 days/job ; rate = 1/4 job/day \n" ); document.write( "----- \n" ); document.write( "Hired DATA: \n" ); document.write( "time = 6 days/job ; rate = 1/6 job/day \n" ); document.write( "---- \n" ); document.write( "Together DATA: \n" ); document.write( "time = x days/job ; rate = 1/x job/day \n" ); document.write( "---------------- \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) \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |