SOLUTION: If a plane can travel 490 miles per hour with the wind and 410 miles per hour against the wind, find the speed of the plane in still air. What is the speed of the plane in still a

Question 1013391: If a plane can travel 490 miles per hour with the wind and 410 miles per hour against the wind, find the speed of the plane in still air.
What is the speed of the plane in still air?
___ miles per hour

Found 2 solutions by josgarithmetic, macston:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
r, the rate of the plane without being in wind;
w, the speed of the wind;

Very simple two-variable linear system, perfectly ready for solving with Elimination Method. If you ADD the corresponding members, this will eliminate w, and you can quickly find the value for r.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
S=speed in still air; W=wind speed
.
S-W=410 mph
S=W+410 mph
,
S+W=490
(W+410mph)+W=490 mph
2W+410mph=490mph
2W=80mph
W=40mph
Wind speed is 40 mph.
.
S=W+410mph=40mph+410mph=450 mph
ANSWER: Speed in still air is 450 mph.

RELATED QUESTIONS
If a plane can travel 490 miles per hour with the wind and 410 miles per hour against the (answered by mananth)
if a plane can travel 490 miles per hour with the wind and 410 miles per hour against the (answered by Alan3354)
if a plane can travel 510 miles per hour with the wind and 410 miles per hour against the (answered by lwsshak3)
if a plane can travel 450 miles per hour with the wind and 410 miles per hour against the (answered by scott8148)
If a plane can travel 470 miles per hour with the wind and 410 miles per hour against the (answered by mananth)
If a plane can travel 490 miles per hour with the wind and 430 miles per hour against the (answered by Alan3354)
if a plane can travel 450 miles per hour with the wind and 410 miles per hour against the (answered by richard1234)
If a plane can travel 510 miles per hour with the wind and 410 miles per hour against the (answered by Alan3354,ewatrrr)
If a plane can travel 500 miles per hour with the wind and 400 miles per hour against the (answered by ikleyn)