I'm working on a Pre-Calculus word problem here, and it is making my head spin. Normally I can solve it if I can find what things are equal between the two situations i.e. the rate or time. However, no matter which angle I look at it, I cannot find anything that would be considered equal between the two! Okay, so here is the problem:

"The city of Harmony is 430 miles from the city of DIssension. At 12:00 noon, Paul Haymaker leaves Harmony travelling at 60 miles per hour towards Dissension. One hour later, Nick Ploughman starts from Dissension heading toward Harmony, managing only 45 miles per hour. When will they meet? How far is the meeting point from Harmony?"

Any help would be greatly appreciated!