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

Question

4 years ago

9

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:

BlackZzzverrR [31] · Answer 1 · 2021-12-15T10:36:33+03:00

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

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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