Question

Help please. 20 pts and a mark!!!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?

Answer 1

Answer:

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 = $\frac{Distance}{Time}$

So, According to question

    x - y = $\frac{5600}{8}$

Or, x - y = 700   mph

    x + y = $\frac{4000}{4}$

Or,  x + y = 1000 mph

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

Or,   2 x = 1700

∴         x = $\frac{1700}{2}$ = 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