SOLUTION: A jet plane flying with the wind went 2275 mi in 5 h. Flying against the wind, the plane could only fly 1750 mi in the same amount of time. Find the rate of the plane in calm air a

Question 1041046: A jet plane flying with the wind went 2275 mi in 5 h. Flying against the wind, the plane could only fly 1750 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the plane in calm air
Let = the speed of the wind
hrs is the time for flying both with and
against the wind
-------------------------------
Equation for flying with the wind:
(1)
Equation for flying against the wind:
(2)
------------------------------
Add the equations:
(1)
(2)
----------------------

mi/hr
and
(1)
(1)
(1)
(1)
(1) mi/hr
---------------------------
Check my math. Plug answers back into both equations
to verify.
RELATED QUESTIONS
A plane flying with the jet stream flew from los angeles to chicago, a distance of 2250... (answered by oberobic)

A jet plane flying with the wind went 1320 mi in 3 hours. Against the wind, the plane... (answered by Alan3354)

A jet plane flying with the wind went 2575 mi in 5 h. Flying against the wind, the plane... (answered by richwmiller)

A jet plane flying with the wind went 1030 mi in 2 h. Against the wind, the plane could... (answered by mananth,richwmiller)

A jet plane flying with the wind went 1780 mi in 4 h. Against the wind, the plane could... (answered by ikleyn)

A jet plane flying with the wind went 2060 mi in 4 h. Flying against the wind, the plane (answered by josgarithmetic,MathTherapy)

A jet plane flying with the wind went 1030 mi in 2 h. Against the wind, the plane could... (answered by josgarithmetic,MathTherapy)

A jet plane flying with the wind went 1820 mi in 4 h. Against the wind, the plane could... (answered by tmwilliamlin168,ewatrrr)

a jet plane flying with the wind went 2100 mi in 4 h. Against the wind, the plane could... (answered by ankor@dixie-net.com)