Given

• The plane is flying due West the entire trip
• The plane's engines put out enough power to fly at 545 mph if there is no wind (but they could put out more if needed).

When the plane crossing over Detroit the plane runs into a headwind of 25 mph due East. If the plane does not make any corrective action, it will slow down and arrive in San Francisco late. How fast would the plane have to fly in order to maintain its intended speed and not lose any time? How cant i do to solve this problem and show this in both a diagram and algebraic solution?