A private plane traveled from Seattle to a rugged wilderness, at an average speed of 312312 mph. On the return trip, the average speed was 364364 mph. If the total traveling time was 44 hours, how far is Seattle from the wilderness?
Accepted Solution
A:
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 hoursLet 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.