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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?

Respuesta :

time out =  d/so = d/523
time back = d/sb = d/415

t = time out + time back
11 = d/523 + d/415 find common deneminator
11 = (415d + 523d)/(523*415)
11*523*415 = 415d + 523d
2387495 = 938d
d = 2545 miles 

hope this help

Answer:

Distance between Seattle to Orlando to the nearest mile = 2545 miles

Step-by-step explanation:

Let the distance between Seattle and Orlando be d.

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.

[tex]\texttt{Time taken from Seattle to Orlando =}\frac{d}{523}[/tex]

The same plane flying from Orlando to Seattle travels at an average of 415 miles per hour.

[tex]\texttt{Time taken from Orlando to Seattle =}\frac{d}{415}[/tex]

The full round trip takes exactly 11 hours.

Total time taken is given by

                [tex]\frac{d}{523}+\frac{d}{415}=11\\\\\frac{415d+523d}{415\times 523}=11\\\\938d=2387495\\\\d=2545.30miles\\\\d\approx 2545miles[/tex]

Distance between Seattle to Orlando to the nearest mile = 2545 miles

               

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