1 point
Flying to Riyadh with a tailwind a plane averaged $197 \mathrm{mph}$. On the return trip the plane only averaged $149 \mathrm{mph}$ while flying back into the same wind. What is the speed of the wind? How fast would the plane go if there were no wind?
Answer
Final Answer: The speed of the wind is \(\boxed{24}\) mph.
Step 1 ：Let's denote the plane's speed as p and the wind's speed as w. We then have the following two equations:
Step 2 ：\(p + w = 197\) (the plane's speed with the wind)
Step 3 ：\(p - w = 149\) (the plane's speed against the wind)
Step 4 ：We can solve this system of equations to find the values of p and w.
Step 5 ：The solution to the system of equations is \(p = 173\) and \(w = 24\).
Step 6 ：Final Answer: The speed of the wind is \(\boxed{24}\) mph.
