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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the plane in calm air
Let +w+ = the speed of the wind
+t+=+5+ hrs is the time for flying both with and
against the wind
-------------------------------
Equation for flying with the wind:
(1) +2275+=+%28+s+%2B+w+%29%2A5+
Equation for flying against the wind:
(2) +1750+=+%28+s+-+w+%29%2A5+
------------------------------
Add the equations:
(1) +5s+%2B+5w+=+2275+
(2) +5s+-+5w+=+1750+
----------------------
+10s+=+4025+
+s+=+402.5+ mi/hr
and
(1) +5s+%2B+5w+=+2275+
(1) +5%2A402.5+%2B+5w+=+2275+
(1) +2012.5+%2B+5w+=+2275+
(1) +5w+=+262.5+
(1) +w+=+52.5+ mi/hr
---------------------------
Check my math. Plug answers back into both equations
to verify.