Question

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?

Answer 1

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