algebra question

Question

Sanic gotta go fast! He ran 168 miles to town and back. The trip to town took 8 minutes since he was running with the wind at his back. On his way back home, the wind was blowing against him and it took 168 minutes to get home. what is Sanic's speed with no wind? What was the speed of the wind?

use s for sanic w for wind

Answer 1

Assuming 168 = the total distance to town and back, then it's 84 miles one way

Let S = Sanic's speed with no wind and W = the wind's speed

(S+W)8 = 84 multiply by 21

168S + 168W = 1764

(S-W)168 = 84

168S - 168W = 84

168S + 168W = 1764 add

336 S = 1848

S = 1848/336 = 5.5 miles per minute = 5.5(60) = 330 mph

8S+8W = 84

S + W = .5

W = 10.5 - 5.5 = 5 miles per minute = 5(60) = 300 mph

Has to be a world record. Clear the streets if you know he's coming through, wind or not, clear the streets if the wind is that bad, sounds like a hurricane category 10, far worse than Katrina in New Orleans.

168(5.5-5) = 168(.5) = 84

84 miles in 8 minutes, that's 10.5 miles in 1 minute and 10.5(60) = 630 mph. Must be super man or woman.