# A long distance trucker traveled 120 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 2 hours less time. How do you find the speed going?

Call the initial speed $v$. The outgoing time was $\frac{120}{v}$ and the returning time at double speed was $\frac{120}{2 v}$. We know $\frac{120}{v} - \frac{120}{2 v} = 2$ hours, so $240 - 120 = 4 v$ so $v = 30$ miles/hour outgoing and $60$ mph back.