Two trucks started traveling from the same place at 9: 00 a. m. one truck traveled north going 45 mph and the other traveled south going 50 mph. what time will it be when the trucks are 380 miles apart?

Short Answer 1 PM
Givens
South bound truck's rate = 50 mph
North bound truck's rate = 45 mph
Distance apart = 380 after time t
The time that passes = t

Equations
d = r * t
d1 + d2 = 380
d1 = r_south * t 
d2 = r_north * t

Substitute and solve.
r_south * t + r_north * t = 380
50*t + 45*t  = 380 Combine like terms.
95t = 380  Divide by 95
t = 380 / 95
t = 4 hours

Answer
t = 9:00 + 4 hours = 1300 hours = 1:00 PM  <<<< answer