A plane flies 600 miles with a tailwind in 2 hours. The return trip against the wind takes 3 hours. What is the wind speed?
40 mph
50 mph
60 mph
75 mph
Correct Answer: B
Choice B is the correct answer. Let = plane speed in still air and = wind speed.
System: Distance = Speed × Time
Step 1: Simplify:
Step 2: Add equations:
Step 3: Find :
Solution: Wind speed is 50 mph
Verification: With wind: ✓, Against: ✓
💡 Strategic Tip: Wind/current helps in one direction, opposes in the other.
Choice A is incorrect because with : plane speed would be 260, and return trip would be .
Choice C is incorrect because with : plane speed would be 240, and return trip would be .
Choice D is incorrect because with : plane speed would be 225, and return trip would be .