Calculating Wind Speed for City A to City B Trip

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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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