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 agai

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Question 954910: 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.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
W=wind speed
600mi%2F%28300mph%2BW%29=400mi%2F%28300mph-W%29 Multiply each side by (300mph-W)(300mph+W)
600mi%28300mph-W%29=400mi%28300mph%2BW%29
180000-600W=120000%2B400W Subtract 120000 from each side.
60000-600W=400W Add 600W to each side.
60000=1000W Divide each side by 1000
60=W ANSWER: The wind speed is 60 mph.
CHECK:
600mi%2F%28300mph%2BW%29=400mi%2F%28300mph-W%29
600mi%2F%28300mph%2B60mph%29=400mi%2F%28300mph-60mph%29
600mi%2F360mph=400mi%2F240mph
1.67hr=1.67hr