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      A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 hours. Find the average airspeed of the plane and the average windspeed

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Januzo4819864idn
The speed from home base to airport was:
[tex]v=255miles/1.7h\ /:1.7\\v=150mph[/tex]
The speed from airport to home base was:
[tex]v=255miles/1.5h\ /:1.5\\v=170mph[/tex]
Average speed of plane was:
[tex]\frac{170mph+150mph}{2}=160mph[/tex]
Average speed of wind was:
[tex]x\ -\ wind\ speed\ (mph)\\150+x=170-x\ /+x\\150+2x=170\ /-150\\2x=20\ /:2\\x=10[/tex]
Answer: Average speed of plane was 160mph and average speed of wind was 10mph.

I hope I helped :D
Tomek1172idn
The answer is in the attachment
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View image Tomek1172
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