SOLUTION: An airplane flying with the wind can cover 680 miles in 2 hours. The return trip against the wind takes 2 1/2 hours. What is the speed of the plane? The speed of the plane is_

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: An airplane flying with the wind can cover 680 miles in 2 hours. The return trip against the wind takes 2 1/2 hours. What is the speed of the plane? The speed of the plane is_      Log On


   

Question 1154738: An airplane flying with the wind can cover 680 miles in 2 hours. The return trip against the wind takes 2 1/2 hours.
What is the speed of the plane?
The speed of the plane is_____miles per hour.
What is the speed of the air?
The wind's speed is_____miles per hour.
Found 3 solutions by MathLover1, MathTherapy, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
What is the speed of the plane?
d=680mil
t=2h
The speed of the plane is:
s=d%2Ft
s=608mil%2F2h
s=304%28mil%2Fh%29

The speed of the plane is_304_miles per hour.

What is the speed of the air?
since return trip, distance is same
d=680mil
t=2.5h
s=608mil%2F2.5h
s=243.2%28mil%2Fh%29
The wind's speed is_243.2___miles per hour.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane flying with the wind can cover 680 miles in 2 hours. The return trip against the wind takes 2 1/2 hours.
What is the speed of the plane?
The speed of the plane is_____miles per hour.
What is the speed of the air?
The wind's speed is_____miles per hour.
The info. from the other person is WRONG!!

The airplane's speed is NOT 304 mph

The wind-speed is NOWHERE close to 243 mph. That's RIDICULOUS! It's just 34 mph!

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Speed of airplane when no wind, r
Speed of the wind, w

WITH the wind, speed was 680%2F2=340=r%2Bw.

AGAINST the wind, speed was 680%2F%282%261%2F2%29=272=r-w.

Solve this system, using Elimination Method if you wish:
system%28r%2Bw=340%2Cr-w=272%29