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A plane can fly 2300 mi east with the jet stream in the same time it
takes to fly 1700 mi west into the jet stream. Determine the speed of the
jet stream if the plane has an air speed of 500 mi/hr.
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Write the "time equation"
= , (1)
where x is the speed of the jet stream.
From this equation
2300*(500-x) = 1700*(500+x)
2300*500 - 2300x = 1700*500 + 1700x
2300*500 - 1700*500 = 2300x + 1700x
600*500 = 4000x
x = = 75 mi/hr (rounded). ANSWER
CHECK. Left side of equation (1) is = 4.00 hours;
Right side of equation (1) is = 4.00 hours.
The answer is precisely correct.
Solved.