Calculating Wind Speed for City A to City B Trip

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Captain Dare A. Devil's round trip between City A and City B, under no wind conditions, is completed in 10 hours at an average speed of 600 km/hr. With a strong steady wind from west to east, the trip duration increased to 12 hours, reducing his average speed to 500 km/hr. The wind affects his speed differently on the outbound and return trips, necessitating a calculation to determine the wind speed. To solve for the wind speed, one must analyze the difference in speeds for each leg of the journey. The discussion seeks assistance in calculating the wind's impact on travel time and speed.
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City A lies directly west of City B. When there is no wind Captain Dare A. Devil makes a round trip of 6000 km between the two in 10 hours in his airplane while traveling at same speed up and down. Once a strong steady wind was blowing from west to east, and the round trip took him 12 hours. How fast was the wind blowing?


Ok...

So to start, I found the average velocity with no wind to be 600 km/hr.

Then, with the wind, his average velocity fell to 500 km/hr...

Since the wind is blowing west to east, his first trip towards City A must've been slower than his returning trip. So to find the speed of the wind, how do I determine this?
 
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