Question

A private plane traveled from Seattle to a rugged wilderness, at an average speed of 264 mph. On the return trip, the average speed was 462 mph. If the total traveling time was 8 hours, how far is Seattle from the wilderness?Seattle is _____ miles from the wilderness

Answer 1

Given

let a = seattle

and b = wilderness

Find

How far is seattle is from wilderness

Explanation

t = time travelling at 264 mph

(8-t) = time travelling at 462 mph

distance travelled at 264 mph = 264(t) ------(1)

distance travelled at 462 mph = 462(8 - t) ------(2)

Equating (1) and (2)

264t = 3696-462t

726t = 3696

t = 1848/363

Distance,

$\begin{gathered} d=264t \\ d=264\times\frac{1848}{363} \\ d=1344\text{ miles} \end{gathered}$

Final Answer

Distance between seattle and wilderness is 1344 miles