Question

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?

Answer 1

Distance from Seattle to​ wilderness = 7392 miles.

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.

`\texttt{Time of Seattle to​ wilderness = }(s)/(312)\\\\\texttt{Time of wilderness to​ Seattle = }(s)/(364)`

We have

`(s)/(312)+(s)/(364)=44\\\\364s+312s=44* 312* 364\\\\676s=4996992\\\\s=7392miles`

Distance from Seattle to​ wilderness = 7392 miles.