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

Rate of jet in still air = 750 mph

Rate of wind = 180 mph

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 * Time`

Distance traveled in 3 hours against the wind = 1710 miles

Distance traveled in 4 hours against the wind = 3720 miles

`u-v=(1710)/(3)\\\Rightarrow u-v=570..... (1)`

`u+v=(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