SOLUTION: A private plan leaves an airport and flies due east at 192 miles per hour. Two hours later, a jet leaves the same airport and flies due east at 960 miles per hour. How far will the

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Question 509241: A private plan leaves an airport and flies due east at 192 miles per hour. Two hours later, a jet leaves the same airport and flies due east at 960 miles per hour. How far will the private plan fly before it is passed by the jet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
How much of a head start does the private plane get?
+d%5B1%5D+=+192%2A2+
+d%5B1%5D+=+384+ mi
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Now start a stopwatch when the jet leaves
For the jet:
(1) +d+=+960t+
For the private plane:
(2) +d+-+384+=+192t+
( Note that t is the same for both,
since they are both on the stopwatch now )
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Substitute (1) into (2)
+960t+-+384+=+192t+
+768t+=+384+
+t+=+.5+ hrs
The private plane is passed by the jet in 1/2 hr