SOLUTION: A private plane traveled from seattle to a rugged wilderness, at an average speed of 270 mph. On the return trip, the average speed was 216 mph. If the total traveling time was 8 h

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Question 790896: A private plane traveled from seattle to a rugged wilderness, at an average speed of 270 mph. On the return trip, the average speed was 216 mph. If the total traveling time was 8 hours, how far was Seattle from the wilderness?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A private plane traveled from seattle to a rugged wilderness, at an average speed of 270 mph. On the return trip, the average speed was 216 mph. If the total traveling time was 8 hours, how far was Seattle from the wilderness?
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S to W DATA:
rate = 270 mph ; time = x hours; distance = r*t = 270x miles
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W to S DATA:
rate = 216 mph ; time = (8-x) hours ; distance = r*t = 216(8-x) miles
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Equation:
distance = distance
270x = 216*8 - 216x
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486x = 216*8
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x = 3.5556..
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Distance from S to W = 250*3.5556 = 888.89 miles
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Cheers,
Stan H.
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