Final answer:
The rate of the plane flying to Seattle is 175 mph.
Step-by-step explanation:
To find the rate of the plane flying to Seattle, we can use the formula: Rate = Distance / Time. Let's say the rate of the plane flying to Seattle is r mph. The plane took 6 hours to fly to Seattle, so the distance traveled would be 6r miles.
On the return trip, the plane took 1 hour longer due to strong headwinds reducing its speed by 25 mph. So the time taken would be 6 + 1 = 7 hours. The distance traveled on the return trip would then be 7 * (r - 25) miles.
Since the distance traveled on the return trip is the same as the distance traveled to Seattle, we can set up the equation: 6r = 7 * (r - 25). Solving this equation, we find that r = 175 mph.