SOLUTION: Against the wind a commercial airline in South America flew 340 miles in 2.5 hours With a tailwind the return trip took 2 hours. What was the speed of the airplane in still air? Wh

Question 720825: Against the wind a commercial airline in South America flew 340 miles in 2.5 hours With a tailwind the return trip took 2 hours. What was the speed of the airplane in still air? What was the speed of the wind? thank you for answering!!!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
let = the speed of the plane in still air in mi/hr
Let = the wind speed in mi/hr
= the speed of the plane flying with the wind in mi/hr
= the speed of the plane flying against the wind in mi/hr
----------------
given:
Flying against the wind:
(1)
Fly with the wind:
(2)
-----------------------
(1)
and
(2)
---------------------
(1)
(1)
and
(2)
--------------------
Add (1) and (2)

and, since
(2)
(2)
(2)
The speed of the plane in still air is 153 mi/hr
The wind speed is 17 mi/hr
-------------
check:
(1)
(1)
(1)
(1)
OK
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
Against the wind a commercial airline in South America flew 840 miles in 4 hours. With a... (answered by ikleyn)

Against the winda commercial airline in south America flew 390 miles in 3 hours. with a... (answered by josmiceli)

Against the wind a commercial airline in South America flew 340 miles in 2.5 hours With a (answered by mananth)

Against the wind a commercial airline in South America flew 588 miles in 3.5 hours.With a (answered by Alan3354)

Against the wind a commercial airline in South America flew 450 miles in 3 hours. With a... (answered by scott8148)

against the wind a commercial airline in south america flew 420 miles in 3 hours. with a... (answered by mananth)

Against the wind a commercial airline in South America flew 480 miles in 3 hours. With a... (answered by josgarithmetic,MathTherapy,Alan3354)

Against the wind a commercial airline in South America flew 784 miles in 4 hours. With a (answered by Alan3354,ikleyn)

Against the wind a commercial airline in South America flew 540 miles in 3 hours. With a (answered by ikleyn)