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?

1 Answer
Jul 8, 2018

Answer:

Speed of the plane in still air and wind are #162 and 21#
km /hour respectively.

Explanation:

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

#P 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, #(P+W)+(P-W) =183 +141# or

#P+cancel W+P-cancel W =183 +141 =324 # or

#2 P= 324 :. P= 324/2= 162# Putting #p=162# in equation (1)

we get, # 162+W=183 :. W= 183-162=21#

#:. P=162, W=21# Km /hr.

Speed of the plane in still air and wind are #162 and 21#

km /hour respectively. [Ans]