Question

Flying against the wind, a jet travels 1710 miles in 3 hours. Flying with the wind, the same jet travels 3720 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answer 1

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 = $u$ mph

Let the rate of air = $v$ mph

So, Rate of jet against the wind = $(u-v)$ mph

Rate of jet with the wind = $(u+v)$ mph

Formula for Speed/Rate is given as:

$Speed = Distance \times Time$

Distance traveled in 3 hours against the wind = 1710 miles

Distance traveled in 4 hours against the wind = 3720 miles

$u-v=\dfrac{1710}{3}\\\Rightarrow u-v=570..... (1)$

$u+v=\dfrac{3720}{4}\\\Rightarrow u+v=930......(2)$

Adding (1) and (2):

$2u=1500\\\Rightarrow u=750\ mph$

By equation (1):

$750 - v =570\\\Rightarrow v =180\ mph$

Rate of jet in still air = 750 mph

Rate of wind = 180 mph