SOLUTION: an airplane takes 5 hours to travel a distance of 2800 miles with wind. The return trip takes 5 hours and 36 minutes against the wind. Find the speed of the plane in still air, and

Question 996403: an airplane takes 5 hours to travel a distance of 2800 miles with wind. The return trip takes 5 hours and 36 minutes against the wind. Find the speed of the plane in still air, and the speed of the wind. ( Hint: convert all time to hours)
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 speed of the wind in mi/hr
------------------------------
Equation for flying with the wind:
(1)
Equation for flying against the wind:
(2)
------------------------------
(1)
and
(2)
------------------------

(2)
(2)
(2)
----------------------
Multiply both sides of (1) by
and both sides of (2) by
then add the equations
(1)
(2)
------------------------

and
(1)
(1)
(1)
(1)
(1)
the speed of the plane in still air is 530 mi/hr
the speed of the wind is 30 mi/hr
----------------
To check, plug numbers back into equations
RELATED QUESTIONS
An airplane takes 5 hours to travel a distance of 2800 miles with wind. The return trip... (answered by ikleyn)

Please help me with this problem: An airplane takes 5 hours to travel a distance of... (answered by Paul)

an airplane takes 5 hours to travel a distance of 4200 miles with the wind. The return... (answered by Boreal)

It takes an airplane 4 hours to travel 1000 miles with a tail wind. It takes the plane 5... (answered by math_helper,ikleyn)

An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return... (answered by mananth)

An airplane takes 3 hours to travel a distance of 1680 miles with the wind. The return... (answered by lwsshak3)

An airplane takes 3 hours to travel a distance of 1680 miles with the wind. The return... (answered by mananth)

An airplane flying with the wind takes 4 hours to travel a distance of 1280 miles. The... (answered by ikleyn)