Answer:
Distance from Seattle to wilderness = 7392 miles.
Step-by-step explanation:
A private plane traveled from Seattle to a rugged wilderness, at an average speed of 312 mph. On the return trip, the average speed was 364 mph.
Total travel time = 44 hours
Let the distance from Seattle to wilderness be s.
[tex]\texttt{Time of Seattle to wilderness = }\frac{s}{312}\\\\\texttt{Time of wilderness to Seattle = }\frac{s}{364}[/tex]
We have
[tex]\frac{s}{312}+\frac{s}{364}=44\\\\364s+312s=44\times 312\times 364\\\\676s=4996992\\\\s=7392miles[/tex]
Distance from Seattle to wilderness = 7392 miles.
