Question 1132505
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Work with the fractions of the job each does in 1 hour.<br>
Let x be the number of hours the farmer takes; then x+2 is the number of hours the son takes.<br>
Then the fractions of the job each does in 1 hour are 1/x and 1/(x+2).<br>
Together they take 5 hours to do the job; so together the fraction they do together is 1/5.<br>
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):<br>
{{{1/x + 1/(x+2) = 1/5}}}<br>
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.