# Flying with the wind a plane went 183 km/h. Flying into the same wind the plane only went 141 km/h. How do you find the speed of the plane in still air and the speed of the wind?

Jul 8, 2018

Speed of the plane in still air and wind are $162 \mathmr{and} 21$
km /hour respectively.

#### Explanation:

Let the speed of the plane in still air and speed of wind are

$P \mathmr{and} W$ km /hour. The speed of the plane with wind is

P+W =183;(1)  Km /hr. The speed of the plane against wind is

P-W=141;(2)  Km /hr. Adding equation (1) and equation (2)

we get, $\left(P + W\right) + \left(P - W\right) = 183 + 141$ or

$P + \cancel{W} + P - \cancel{W} = 183 + 141 = 324$ or

$2 P = 324 \therefore P = \frac{324}{2} = 162$ Putting $p = 162$ in equation (1)

we get, $162 + W = 183 \therefore W = 183 - 162 = 21$

$\therefore P = 162 , W = 21$ Km /hr.

Speed of the plane in still air and wind are $162 \mathmr{and} 21$

km /hour respectively. [Ans]