# SOLUTION: A plane flies with a ground speed of 160 mph if there is no wind. It travels 350 miles with a headwind in the same time it takes to go 450 miles with a tailwind. Find the speed of

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 Question 551691: A plane flies with a ground speed of 160 mph if there is no wind. It travels 350 miles with a headwind in the same time it takes to go 450 miles with a tailwind. Find the speed of the windAnswer by mananth(12270)   (Show Source): You can put this solution on YOUR website!plane speed = 160 km/h wind speed = x km/h wind speed speed against wind 160 - x speed with wind 160 + x Distance against wind 350 km Distance with wind 450 km t=d/r time against = time with wind 350/(160-x)=450 /(160+x ) 350(160 +x)=450 (160-x) 56000-+ 350 x = 72000 -450 x 450x+350x = 16000 800 x = 16000 / 800 x = 20 mph wind speed m.ananth@hotmail.ca