SOLUTION: A plane flying against the wind can make a 2200 mile journey in 75 minutes less than it could with the aid of wind. If it's avg speed is increased by 88 mph with the aid of wind, a

Question 1064085: A plane flying against the wind can make a 2200 mile journey in 75 minutes less than it could with the aid of wind. If it's avg speed is increased by 88 mph with the aid of wind, about how long did the journey take against the wind?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39799) (Show Source): You can put this solution on YOUR website!
Seventy five minutes LESS time against the wind than with the wind?
No. Against the wind means LONGER time for the given distance.
WITH the wind means LESS TIME for the given distance.
Two small but important changes to the problem description can make this into a sensible description.

--
Wind's speed is 88 miles per hour.
75 minutes means hours.
Let t be the amount of time for the travel against the wind.

If you change part of the description to say, flying against the wind can make a 2200 mile journey in 75 minutes more than it could with the aid of wind
then you could arrange your data as in this table:

WHICH WAY SPEED TIME DISTANCE AGAINST WIND r-88 t+5/4 2200 WITH WIND r+88 t 2200

Answer by MathTherapy(10810) (Show Source): You can put this solution on YOUR website!
A plane flying against the wind can make a 2200 mile journey in 75 minutes less than it could with the aid of wind. If it's avg speed is increased by 88 mph with the aid of wind, about how long did the journey take against the wind?

Let time it takes against wind be T
Then time it takes with the wind = , or , or T - 1.25 hours
We then get the following SPEED equation:
2,200(T - 1.25) = 2,200T - 88T(T - 1.25) ----- Multiplying by LCD, T - 1.25

Continue solving for T to get a time AGAINST the wind of:
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