SOLUTION: A jet plane traveling 550mph overtakes a small plane traveling at 180 mph that had a 1hr headstart. how far from the starting positions are the planes? Distance problem

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Question 318957: A jet plane traveling 550mph overtakes a small plane traveling at 180 mph that had a 1hr headstart.
how far from the starting positions are the planes?
Distance problem

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
+Rs=180
Rp=550
In 1 hour, the small plane has already traveled 180 miles.
The distance for the small plane is,
Ds=Rs%2At%2B180
The distance for the jet plane is,
Dp=Rp%2At
Find when the distances are equal.
Ds=Dp
Rs%2At%2B180=Rp%2At
180t%2B180=550t
370t=180
t=18%2F37hrs
Now use either distance equation to find the distance.
Dp=550t=550%2818%2F37%29
highlight%28Dp=9900%2F37%29 or approximately
Dp=268 miles