20 pts and a ! flying against the jetstream, a jet travels 5600 miles in 8 hours. flying with the jetstream, the same jet travels 4000 miles in 4 hours. what is the rate of the jet in still air and what is the rate of the jetstream?

The rate of jet in still air is 850 mile per hour  

The rate of jetstream is 150  mile per hour.

Step-by-step explanation:

Given as :

The distance cover against jetstream  = 5600 miles

The time taken against Jetstream = 8 hours

The distance cover with jetstream = 4000 miles

The time taken with the jetstream = 4 hours

Now , let The speed of jet in still air = x  mph

The speed of jetstream = y  mph

As , Speed =

So, According to question

    x - y =

Or, x - y = 700   mph

    x + y =

Or,  x + y = 1000 mph

So,  ( x -  y ) + ( x + y ) = 700 + 1000

Or,   2 x = 1700

∴         x = = 850 mph

And    y = 1000 - 850 = 150   mph

Hence The rate of jet in still air is 850 mile per hour  and The rate of jetstream is 150  mile per hour.   Answer