SOLUTION: With a tailwind, an aircraft can fly 408 miles in 3 hours. Against this same wind, the aircraft can fly the same distance in 4 hours. Find the effect of the wind and the ave

Algebra ->  Equations -> SOLUTION: With a tailwind, an aircraft can fly 408 miles in 3 hours. Against this same wind, the aircraft can fly the same distance in 4 hours. Find the effect of the wind and the ave      Log On


   

Question 1206064: With a tailwind, an aircraft can fly 408 miles in 3 hours.
Against this same wind, the aircraft can fly the same
distance in 4 hours.
Find the effect of the wind and the average airspeed
of the aircraft.
Answer: The impact of the wind resistance on the
aircraft is ?
and the average airspeed of the aircraft is ?

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
With a tailwind, an aircraft can fly 408 miles in 3 hours. Against
this same wind, the aircraft can fly the same distance in 4 hours.
Find the effect of the wind and the average airspeed of the aircraft. 

             A = average airspeed of plane
             w = speed of wind

             | DISTANCE |   RATE  |  TIME | 
with wind    |   408    |   A+w   |   3   |     
against wind |   408    |   A-w   |   4   |

             

             system%28408=3A%2B3w%2C408=4A-4w%29
 
         Divide 1st equation by 3, 2nd equation by 4:

             system%28136=A%2Bw%2C102=A-w%29

        Add the two equations:

             238=2A
             119=A

         Air speed = 119 mph

         Subtract the two equations:

             34=2w
             17=w

         Wind speed = 17 mph

Edwin