Answer
52 m
Work Step by Step
Let t = time elapsed since the bear was 26m behind
$distance_{bear}$
= average speed $\times$ time
= 6.0t
d
=$distance_{tourist}$
= average speed $\times$ time
= 4.0t
6.0t $\leq$ 4.0t + 26
2t $\leq$ 26
t $\leq$ 13
$d_{min}$ = 4.0$t_{min}$ = 4.0 (13) = 52 m