**Re: please help with word problem**
Caron said:

A six-passanger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the wind speed?

Please help, not sure where to begin with this-Thanks-Caron

Let w = wind speed

Flying

**with** the wind, the plane's speed will be

**increased** by the wind's speed, and the plane will fly at 180 + w mph. Since distance / rate = time, the time it takes for the plane to fly 7 miles at 180 + w mph is 7 / (180 + w) hours.

Flying

**against** the wind, the plane's speed will be

**decreased** by the wind's speed, and the plane will fly at 180 - w mph. The time it takes for the plane to fly 5 miles at 180 - w mph is 5 / (180 - w) hours.

Now, we are told that those two times are equal. So,

7 / (180 + w) = 5 / (180 - w)

Can you finish it now?