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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?

2 Answers

6 votes

Answer: 1:00 PM

Explanation:

User Jess Balint
by
5.2k points
3 votes
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

User Chomeh
by
4.2k points
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