SOLUTION: A plane has a cruising speed of 200 miles per hour when there is no wind. At this speed, the plane flew 500 miles with the wind in the same amount of time it flew 300 m

Question 957352: A plane has a cruising speed of
200
miles per hour when there is no wind. At this speed, the plane flew
500
miles with the wind in the same amount of time it flew
300
miles against the wind. Find the speed of the wind.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A plane has a cruising speed of 200 miles per hour when there is no wind. At this speed, the plane flew 500miles with the wind in the same amount of time it flew 300
miles against the wind. Find the speed of the wind.
***
let c=speed of wind
200+c=speed of plane with the wind
200-c=speed of plane against the wind
travel time=distance/speed (same for both directions)
..

500(200-c)=300(200+c)
100000-500c=60000+300c
800c=40000
c=50
speed of wind=50 mph
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