Your final answer will be 2 157/500 for the decimal 2.314
Let's call the angles x and y. We know that supplementary angles must add to 180 degrees, so x+y=180.
Furthermore, we know that x is 75% more than 2y. We can write "75% more than" numerically as 1.75, so x = 1.75(2y).
We can simplify the second equation by multiplying 1.75 and 2 together to get x = 3.5y.
Now we can solve the system of equations by substitution by plugging 3.5y in for x in x+y=180.
(3.5y) + y = 180
Combine like terms.
4.5y = 180
Divide by 4.5
y = 40
Plug y = 40 in and solve for x.
x + 40 = 180
x = 140
The answer is 40 and 140. Hope this helps :)
Velocity With the Wind = 700/3.5 = 200 mph
Velocity Against the Wind = 700/5 = 140 mph
Taking the average we get:
Airplane Velocity In Still Air = 170 mph
Wind Velocity = 30 mph
Source:
http://www.1728.org/veloccal.htm
