SOLUTION: I'm confused with this question because the wind is involved. Pls. help me! A plane travels 1200 km distance in 12 hrs with the wind. The return trip against the wind takes 15

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: I'm confused with this question because the wind is involved. Pls. help me! A plane travels 1200 km distance in 12 hrs with the wind. The return trip against the wind takes 15       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 205938: I'm confused with this question because the wind is involved.
Pls. help me!
A plane travels 1200 km distance in 12 hrs with the wind. The return trip against the wind takes 15 hrs. Find the rate of the plane in still air.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A plane travels 1200 km distance in 12 hrs with the wind. The return trip against the wind takes 15 hrs. Find the rate of the plane in still air.
-------------------
d = rt
d = (r+w)*12
d = (r-w)*15
12(r+w) = 15(r-w)
12r+12w = 1200 --> r+w = 100
15r-15w = 1200 --> r-w = 80
------------------
r+w = 100
r-w = 80
---------- Add
2r = 180
r = 90 kph
-------
The rate is called the airspeed, not "the speed in still air."
The airspeed plus the effect of the wind is the groundspeed.
-------------
Airplanes don't use kilometers, they use knots for speed.
1 knot = 1 nautical mile per hour. Ships also use knots.
Speed is knots, not knots per hour.