George the Pigeon travels the same distance of 72 miles in 4 hours against the wind as he does traveling 3 hours
with the wind in the local skies. What is the speed of
George the Pigeon in still air and the speed of the wind?

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

Step-by-step explanation:

Let the speed of George the Pigeon in still air = miles/hr

Let the speed of air = miles/hr

Distance traveled = 72 miles

Relative speed against the wind = miles/hr

Time taken against the wind = 4 hours

Relative speed with the wind = miles/hr

Time taken against the wind = 3 hours

Using the formula:

Adding (1) and (2):

By equation (1):

Therefore, the answer is:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

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