document.write( "Question 1132505: A farmer can plow a given field in 2 hours less time than it take his son. If they acquire two tractors and work together, they can plow the field in 5 hours. How long does I take the father alone? \n" ); document.write( "
Algebra.Com's Answer #749552 by greenestamps(13198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Work with the fractions of the job each does in 1 hour. \n" ); document.write( "Let x be the number of hours the farmer takes; then x+2 is the number of hours the son takes. \n" ); document.write( "Then the fractions of the job each does in 1 hour are 1/x and 1/(x+2). \n" ); document.write( "Together they take 5 hours to do the job; so together the fraction they do together is 1/5. \n" ); document.write( "Then the equation is (fraction the farmer does in 1 hour) plus (fraction the son does in 1 hour) = (fraction they do together in 1 hour): \n" ); document.write( " \n" ); document.write( "Multiply everything by the least common denominator -- (5)(x)(x+2) -- to obtain a quadratic equation. The quadratic doesn't factor, so you will need to solve using the quadratic formula. \n" ); document.write( " |