SOLUTION: A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against
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Question 969855: A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind. Found 2 solutions by stanbon, lwsshak3:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.
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With wind DATA:
rate = 300+w ; distance = 600 miles ; time = d/r = 600/(300+w)
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Against wind DATA:
rate = 300-w ; distance = 400 miles ; time = d/r = 400/(300-w)
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Equations:
time = time
600/(300+w) = 400/(300-w)
600*300 - 600w = 400*300 + 400w
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1000w = 60000
w = 60 mph (speed of the wind)
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Cheers,
Stan H.
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You can put this solution on YOUR website! A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.
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let c=speed of the wind
300+c=speed of plane with the wind
300-c=speed of plane against the wind
travel time=distance/speed (same for both directions of travel)
..
400(300+c)=600(300-c)
120000+400c=180000-600c
1000c=60000
c=60
speed of the wind=60 mph
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