SOLUTION: Tara and Brian leave a concert at 11:30 pm. They travel in opposite directions. Tara drives 55 miles per hour and Brian drives 45 miles per hour. At what time will they be 15

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Question 352222: Tara and Brian leave a concert at 11:30 pm. They travel in
opposite directions. Tara drives 55 miles per hour and Brian
drives 45 miles per hour. At what time will they be 150 miles apart?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
For Tara,
55%2At=D%5Bt%5D
For Brian,
45%2At=D%5Bb%5D
The distance between them is the sum of the distances each travel,
D=D%5Bt%5D%2BD%5Bb%5D
Find t when D=150miles
D=D%5Bt%5D%2BD%5Bb%5D
55%2At%2B45%2At=150
100t=150
highlight%28t=3%2F2%29hrs or 01:00 AM.