SOLUTION: In 1927 Charles Lindbergh flew the Spirit of St. Louis from New York to Paris at an average speed of 107.4 mi/h. Eleven years later, Howard Hughes flew the same route, averaged 2

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: In 1927 Charles Lindbergh flew the Spirit of St. Louis from New York to Paris at an average speed of 107.4 mi/h. Eleven years later, Howard Hughes flew the same route, averaged 2      Log On

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Question 67182This question is from textbook Algebra 1
: In 1927 Charles Lindbergh flew the Spirit of St. Louis from New York to Paris at an average speed of 107.4 mi/h. Eleven years later, Howard Hughes flew the same route, averaged 217.1 mi/h, and took 16 hours, 57 minutes less time. Find the length of their route.
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This question is from textbook Algebra 1

Answer by josmiceli(6784) About Me  (Show Source):
You can put this solution on YOUR website!
The distance is the same for each flyer
d%5B1%5D+=+d%5B2%5D
r%5B1%5D%2At%5B1%5D+=+r%5B2%5D%2At%5B2%5D
107.4t+=+217.1%28t+-+16.95%29
107.4t+=+217.1t+-+3679.85
109.7t+=+3679.85
t+=+33.54hrs
t+-+16.95+=+16.59hrs
Lindbergh's distance was
r%5B1%5D%2At%5B1%5D+=+107.4%2A33.54
r%5B1%5D%2At%5B1%5D+=+3602mi
Hugh's distance should be the same
r%5B2%5D%2At%5B2%5D+=+217.1%2A16.59
r%5B2%5D%2At%5B2%5D+=+3602mi