Answer
24/5 hours
Work Step by Step
Smith balances in 8 hours (1/8 done in an hour)
assistant balances in 12 hours (1/12 done in an hour)
$1/8 + 1/12 = 1/x$
$48(1/8 + 1/12 = 1/x)$
$6 + 4 = 48/x$
$10 = 48/x$
$10*x=48/x*x$
$10x=48$
$10x/10 = 48/10$
$x = 48/10$
$x= 24/5$