SOLUTION: A jet plane flying with the wind went 2575 mi in 5 h. Flying against the wind, the plane could only fly 2250 mi in the same amount of time. Find the rate of the plane in calm air a

Question 1103373: A jet plane flying with the wind went 2575 mi in 5 h. Flying against the wind, the plane could only fly 2250 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind. (Round your answers to one decimal place.)
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
r*t=d
with the wind
(r+c)*5=2575
r+c=2575/5
r+c=515
against the wind
r-c=2250/5
r-c=450
we have
r-c=450
r+c=515
add
2r=965
r=965/2
r=482.5 mph plane
482.5*5+c*5=2575
2412.5+c*5=2575
c*5=162.5
c=162.5/5
c=32.5 mph wind
check with
(482.5+c)*t=2575
(482.5+32.5)*5=2575
(515.0)*5=2575
2575.0=2575
ok
check against
(482.5-c)*t=2250
(482.5-32.5)*5=2250
(450.0)*5=2250
2250.0=2250
ok

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