Answer:34 miles
Explanation:
Given
Man runs for [tex]t_1=1.5\ hr[/tex] to south with speed [tex]v_1=8\ mph[/tex]
He then continues south for [tex]t_2=24\ minutes\approx 0.4\ hr[/tex] with speed [tex]v_2=55\ mph[/tex]
Total distance traveled [tex]d=v_1\times t_1+v_2\times t_2[/tex]
[tex]d=8\times 1.5+55\times 0.4[/tex]
[tex]d=12+22[/tex]
[tex]d=34\ miles[/tex]
thus he travels a distance of [tex]34\ miles[/tex] due to south
