Answer:
Rate of jet in still air = 750 mph
Rate of wind = 180 mph
Step-by-step explanation:
Let the rate of jet in still air = [tex]u[/tex] mph
Let the rate of air = [tex]v[/tex] mph
So, Rate of jet against the wind = [tex](u-v)[/tex] mph
Rate of jet with the wind = [tex](u+v)[/tex] mph
Formula for Speed/Rate is given as:
[tex]Speed = Distance \times Time[/tex]
Distance traveled in 3 hours against the wind = 1710 miles
Distance traveled in 4 hours against the wind = 3720 miles
[tex]u-v=\dfrac{1710}{3}\\\Rightarrow u-v=570..... (1)[/tex]
[tex]u+v=\dfrac{3720}{4}\\\Rightarrow u+v=930......(2)[/tex]
Adding (1) and (2):
[tex]2u=1500\\\Rightarrow u=750\ mph[/tex]
By equation (1):
[tex]750 - v =570\\\Rightarrow v =180\ mph[/tex]
Rate of jet in still air = 750 mph
Rate of wind = 180 mph
