Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can. <span>If they join to work together they can complete the job in 3 hours. </span> <span>1/x + 1/(x - 8) = 1/3 </span> <span>3(x - 8) + 3x = x(x - 8) </span> <span>x^2 - 14x + 24 = 0 </span> <span>(x - 12)(x - 2) = 0 </span> <span>Solutions: </span> <span>x = 2 </span> <span>x = 12 </span> <span>Jimmy can complete the job on his own in 12 hours.</span>
