SOLUTION: The rate of a single-engine plane in calm air is 100mph. Flying with the wind, the plane can fly 240 mi in 1 h less time than is required to make the return trip 240 mi. Find the

Question 952030: The rate of a single-engine plane in calm air is 100mph. Flying with the wind, the plane can fly 240 mi in 1 h less time than is required to make the return trip 240 mi. Find the rate of the wind.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The rate of a single-engine plane in calm air is 100mph. Flying with the wind, the plane can fly 240 mi in 1 h less time than is required to make the return trip 240 mi. Find the rate of the wind.
***
let c=rate of the wind
100+c=rate of plane downwind
100-c=rate of plane upwind
distance/rate=travel time
..

lcd:(100-c)(100+c)
240(100+c)-240(100-c)=(100-c)(100+c)
24000+240c-24000+240c=10000-c^2
c^2+480c-10000=0
(c-20)(c+500)=0
c=20
rate of the wind=20 mph
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