write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind o nly 260 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air. please show step by step
1 answer:
Answer:
w = 40 miles per hour
r = 300 miles per hour
Step-by-step explanation:
We add w with the wind and subtract w against the wind
r+w = 340 miles per hour
r - w = 260 miles per hour
Add the two equations together to eliminate w
r+w = 340 miles per hour
r - w = 260 miles per hour
----------------------------------------
2r = 600
Divide by 2
r = 300 miles per hour without the wind
Now find w
r+w = 340
300 + w = 340
Subtract 300
w = 340-300
w = 40 miles per hour
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