Answer
5.25 hours
Work Step by Step
experienced: 6 hours (1/6 done in an hour)
second cook: 7 hours (1/7 done in an hour)
$1/6 + 1/7 + 1/x = 1/2$
$42(1/6 + 1/7 + 1/x = 1/2)$
$7 + 6 + 42/x = 21$
$13 + 42/x = 21$
$42/x = 8$
$42/x*x = 8*x$
$42 = 8x$
$42/8 = 8x/8$
$21/4 = x$
$x = 5.25$