SOLUTION: At 8:00 a.m the Smith's left a campground,driving at 48mi/h. At 8:20 a.m the Garcia's left the same campground and followed the same route, driving at 60 mi/h. At what time did the

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Question 113764This question is from textbook Algebra Structure and method
: At 8:00 a.m the Smith's left a campground,driving at 48mi/h. At 8:20 a.m the Garcia's left the same campground and followed the same route, driving at 60 mi/h. At what time did they overtake the Smith's?
Here is what I have but I don't know if it is right
60t=48(t+1/3)
60t=48t+16
60t-48t=48t-48t+16
12t=16
12t/12=16/12
t=14/12or 11/3
They overtook the Smiths at 1:20
Is this right?
This question is from textbook Algebra Structure and method

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The Smiths and Garcias both travel the same distance
D%5Bs%5D+=+D%5Bg%5D I'll just call the distance D
To find their elapsed time, start a stopwatch when the
Garcias leave at 8:20. Stop the stopwatch when they meet.
Call that elapsed time thrs. But the Smiths have already been
driving for 20 min., so their time is t+%2B+1%2F3hrs
D+=+r%2At
D%5Bs%5D+=+48%28t+%2B+1%2F3%29
D%5Bg%5D+=+60t
48%28t+%2B+1%2F3%29+=+60t
48t+%2B+16+=+60t
12t+=+16
t+=+4%2F3hrs or,
t+=+80+min
This is the Garcias elapsed time
8:20 + 1 hr 20 min = 9:40 answer