Calculating Wind Speed for City A to City B Trip

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SUMMARY

Captain Dare A. Devil's round trip between City A and City B, a distance of 6000 km, took 10 hours without wind, resulting in an average speed of 600 km/hr. With a strong steady wind blowing from west to east, the round trip duration increased to 12 hours, reducing his average speed to 500 km/hr. The difference in speeds indicates that the wind speed can be calculated by analyzing the time taken for each leg of the trip, confirming that the wind speed is 100 km/hr.

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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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