A round trip flight from Seattle, Washington to Orlando, Florida is one of the longest flights in the continental United States. Due to the jet stream that blows from west to east, a plane flying nonstop from Seattle to Orlando flies at an average speed of 523 miles per hour. The same plane flying from Orlando to Seattle travels at an average of 415 miles per hour. The full round trip takes exactly 11 hours. How far is Seattle from Orlando, to the nearest mile?

Question

anonymous · Answer

How far is Seattle from Orlando?
Let d = one way distance (?), t = total trip time (11 hours), So = speed out (523 mph), Sb = speed back (415 mph)

time out = d/So = d/523
time back = d/Sb = d/415

t = time out + time back
11 = d/523 + d/415 find common denominator here
11 = (415d + 523d)/(523*415)
11*523*415 = 415d + 523d
2387495 = 938d
d = 2545 miles

anonymous · Answer

Thank you very much. Your answer is correct, I checked in the textbook answers. I just needed a systematic way of solving it. :)

anonymous · Answer

Did I get an medal?

mertsj · Answer

Be altruistic

anonymous · Answer

Yeah you got a medal.

radar · Answer

Here is a medal for you kumar2006, I liked the layout of your solution  and of course the correct answer.