Flying against the wind, a jet travels 2160 miles in 3 hours. flying with the wind, same jet travels 6000 miles in 6 hours. what is the rate of the jet in still air and what rate of the wind?

The velocity of jet in still air is   and velocity of wind is   .

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind

As such its velocity against wind is  

and with wind is   therefore

------------(1)

---------------(2)

Adding equation 1 and 2.

Put x value in equation 2

Hence velocity of jet in still air is   and velocity of wind is   .

d

step-by-step explanation:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11