Math
posted by Sarah
an airplane travels 500 km with the wind in the same time that it takes the airplane to travel 400 km against the wind. the average speed of the plane in still air is 180 km/h. what is the average speed of the wind?
Airplane with wind:
Distance: 500km
Speed: 180+x
Time:
Airplane against wind:
Distance: 400km
Speed: 180x
Time:
I'm not sure how to do this. Can i please get help?

bobpursley
500=(va+vw)*time
400=(vavw)*time
500=(va+vw)(400)/(vavw)
500(vavw)=400(va+vw)
you are given Va=180
Can you solve it now? 
Sarah
I'm not sure what you did. What is VA and VW?

Sarah
Thank you so much
So My equation would be:
500/180+x= 400/180x
And the answer that I get is: 20km/h.
Is at correct? 
bobpursley
correct.
Respond to this Question
Similar Questions

math
When an airplane flies with a given wind, it can travel 3000 km in 5hrs. When the same airplane flies in the opposite direction against the wind it takes 10hrs to fly the same distance. Find the speed of the plane in still air and … 
PreAlgebra
Question is: What is the algebraic equation to determine when they will meet? 
PreAlgebra
Question is: What is the algebraic equation to determine when they will meet? 
Math
An airplane has a speed of 400 km/h with no wind. The airplane flies 2140 km with the wind. The airplane can only fly 1860 km against the wind in the same time. If w equals the speed of the wind, which equation would be used to find … 
Algebra 2
An airplane flies 1050 km with the wind. In the same amount of time, it can fly 750 km against the wind. The speed of the plane in the still air is 200 km/h. Find the speed of the wind. 
math
An airplane flying against the wind travels 100 miles in the same amount of time it would take the same plane to travel 140 miles with the wind. If the wind speed is a constant 40 miles per hour, how fast would the plane travel in … 
Algebra 1
An airplane travels 6200 km against the wind in 8 hours and 7080 km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind? 
algebra
A plane takes 3 hours to travel 1500 miles with the wind. it can travel only 1380 miles against the wind in the same amount of time. Find the speed of the wind and the speed of the plane in still air. 
Math
Imelda's plane travels at a speed of 350kph in still air. One day, she travels 169km against the wind at the same time it takes to travel 190km with the wind. Find the speed of the wind. 
algebra 2
Traveling with the wind, an airplane travels 210 miles im 4 hours. Against the wind, it takes six hours. Find the rate of the plane in still air and the velocity of the wind.