SOLUTION: A private plane traveled from Seattle to a rugged​ wilderness, at an average speed of 88 mph. On the return​ trip, the average speed was 154 mph. If the total traveling

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Question 1054716: A private plane traveled from Seattle to a rugged​ wilderness, at an average speed of 88 mph. On the return​ trip, the average speed was 154 mph. If the total traveling time was 8 ​hours, how far is Seattle from the​ wilderness?
Found 3 solutions by Fombitz, Boreal, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Distance = Rate x Time
Let x be the time spent at 88 mph and y the time at 154 mph.
1.88x=154y
2.x%2By=8
.
.
From 1,
x=%28154%2F88%29y
x=%287%2F4%29y
Substituting,
%287%2F4%29y%2By=8
%2811%2F4%29y=32%2F4
y=32%2F11
So then,
D=154%2832%2F11%29
D=448miles


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
v*t=distance
going there 88*t=distance
coming back, the time is (8-t) and the velocity 154, so the distance is 154(8-t)=
1232-154t. Set that equal to 88t, since the distance is the same
88t=1232-154t
242t=1232
t=5.091 hours
going over, the distance would be 448 miles
coming back, the time is 2.909 hours (add to 8 hours)*154mi/hr=447.99 miles
448 miles is the distance.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

A private plane traveled from Seattle to a rugged​ wilderness, at an average speed of 88 mph. On the return​ trip, the average speed was 154 mph. If the total traveling time was 8 ​hours, how far is Seattle from the​ wilderness?
Let distance be D
Then we get the following TIME equation: D%2F88+%2B+D%2F154+=+8
7D + 4D = 4,928 -------- Multiplying by LCD, 616
11D = 4,928
D, or distance = highlight_green%28matrix%281%2C4%2C+%224%2C928%22%2F11%2C+or%2C+448%2C+miles%29%29