SOLUTION: you take a airplane ride which takes 3hrs and you are traveling at 180 mph. no air restrictions. on the way back it only takes you 2.8 hrs. what is the air speed?

Question 214958: you take a airplane ride which takes 3hrs and you are traveling at 180 mph. no air restrictions. on the way back it only takes you 2.8 hrs. what is the air speed?
Found 3 solutions by Earlsdon, nerdybill, drj:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
If you travel for 3 hours at 180mph, the distance covered is:
(3hr)(180mph) = 540 miles.
Now if you travel the same 540 miles in 2.8 hours, your speed is:
540mi/2.8hrs = 192.86mph

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
you take a airplane ride which takes 3hrs and you are traveling at 180 mph. no air restrictions. on the way back it only takes you 2.8 hrs. what is the air speed?
.
You will need to apply the distance formula:
d = rt
where
d is distance
r is rate or speed
t is time
.
Let w = air speed
then
3(180-w) = 2.8(180+w)
3(180-w) = 2.8(180+w)
240 - 3w = 504 + 2.8w
240 + 5.8w = 504
5.8w = 264
w = 45.52 mph
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
You take a airplane ride which takes 3 hrs and you are traveling at 180 mph. No air restrictions. On the way back it only takes you 2.8 hrs. wWat is the air speed?

Step 1. Distance = Speed * Time or Speed = Distance/Time.

Step 2. 3 hours * 180 mph = 540 miles.

Step 3. Speed = 540 miles/ 2.8 hours = 192.8 mph since on the way back it travels the same distance of 540 miles and in less time. So the speed is faster on the way back.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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