A truck enters a highway driving 60 mph. A car enters the highway at the same
place 9 minutes later and drives 69 mph in the same direction. From the time the
car enters the highway, how long will it take the car to pass the truck?
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OpenStudy (oaktree):
If the solution is at n hours, then 60n<69n-9/60.
OpenStudy (anonymous):
solution in minutes
OpenStudy (oaktree):
9n>9/60, and n>1/60, so after one minute.
OpenStudy (anonymous):
Yes it does thanks!
OpenStudy (lgbasallote):
hmm wait...
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OpenStudy (lgbasallote):
i forgot to convert...
OpenStudy (anonymous):
yeah I just got a negative number
OpenStudy (lgbasallote):
60mph = 1 mile per minute
69 mph = 1.15 mile per minute
so the distance the car would have traveled when it overtakes will be
d = 1.15t
the distance the truck would have traveled will be
d = 1(t+9)
so equate them
1.15t = t + 9
solve for t
OpenStudy (anonymous):
t=60
that would mean 60 minutes right?
OpenStudy (lgbasallote):
yeah
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