An airplane flew 340 miles in 2 hours with the wind. It took 2 and a half hours to make the return trip against the wind. How fast is the wind blowing?

I have the formula d=rt and I started a table, but not exactly sure what equation type would give me the right answer.

Question

An airplane flew 340 miles in 2 hours with the wind. It took 2 and a half hours to make the return trip against the wind. How fast is the wind blowing?

I have the formula d=rt and I started a table, but not exactly sure what equation type would give me the right answer.

anonymous · Answer

d = rt
340 = (r + w)2

340 = (r-w)2.5

distribute both equations
340 = 2r + 2w
340 = 2.5r - 2.5w

Solve the 1st one for r and then substitute
340 - 2w = 2r    divide by 2
170 - w = r        substitute

340 = 2.5(170 - w) - 2.5w
340 = 425 - 2.5w - 2.5w
340 = 425 - 5w
-85 = -5w
17 = w

wind is 17 mph

anonymous · Answer

Thnk you very much :D