Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set - Page 537: 22

2 hours

experienced: completes job in 3 hours (or 1/3 of job in an hour) apprentice: completes job in 6 hours (or 1/6 of job in an hour) $1/3 + 1/6 = 1/x$ $6(1/3 + 1/6 = 1/x)$ $2 + 1 = 6/x$ $3 = 6/x$ $3*x/3 = 6/x *x/3$ $x = 2$ $1/3 + 1/6 = 1/x$ $1/3 + 1/6 = 1/2$ $2/6 + 1/6 = 1/2$ $3/6 = 1/2$ (true statement)