SOLUTION: A jet plane flying with the wind went 1030 mi in 2 h. Against the wind, the plane could only fly 900 mi in the same amount of time. Find the rate of the plane in calm air and the r

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Question 1054332: A jet plane flying with the wind went 1030 mi in 2 h. Against the wind, the plane could only fly 900 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.
plane speed
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                   SPEED       TIME       DISTANCE
WITHWIND           r+w          2          1030
AGAINSTWND         r-w          2           900


                   SPEED       TIME       DISTANCE
WITHWIND           r+w          t          D
AGAINSTWND         r-w          t          d

system%28%28r%2Bw%29t=D%2C%28r-w%29t=d%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A jet plane flying with the wind went 1030 mi in 2 h. Against the wind, the plane could only fly 900 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.
plane speed 
Let speed of plane in sill air, and speed of wind, be S and W, respectively

Flying WITH the wind, the total speed = matrix%281%2C4%2C+%221%2C030%22%2F2%2C+or%2C+515%2C+mph%29

Flying AGAINST the wind, the total speed = matrix%281%2C4%2C+900%2F2%2C+or%2C+450%2C+mph%29

We then get the following 2 TOTAL-SPEED equations:

S + W = 515 ------- eq (i)

S - W = 450 ------- eq (ii)

Using elimination, you can immediately find S

Substitute value for S into any of the 2 TOTAL-SPEED equations to find W.