lisabrummel Posts: 1, Reputation: 1 New Member #1 Dec 20, 2011, 07:55 AM
Help distance rate time problems?
An airplane flies 500 mi/hr in still air. Flying with the jet stream, the plane travels 1200 my from City A to City B. The plane then returns to City A,flying against the jet stream. The round-tip flight time is 5 h. What is the speed of the jet steam in miles per hour?
 Aurora2000 Posts: 111, Reputation: 16 Junior Member #2 Dec 20, 2011, 08:08 AM
Let be x the speed of jet stream (in mph):

in the going out trip the plane travels 1200 miles at (500+x) mph, thus travel time is
$\frac{1200}{500+x}$; in the return trip the plane travels 1200 miles at (500-x) mph,
thus travel time is $\frac{1200}{500-x}$. Round trip time is 5h, thus

$\frac{1200}{500+x}+\frac{1200}{500-x}=5$

Solve in x.

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