Linear Applicaton Problem

I'm back*(Giggle)

Having a bit of difficulty with some application word problems... one in particular has me confused.*

I know the following:

$\displaystyle SPD=\frac{D}{T}$

$\displaystyle DIST=SPD\cdot TIME$

$\displaystyle TIME=\frac{D}{S}$

The question:

Quote:

A plane averaging 120mi/hr and an express train averaging 60mi/hr depart at the same time from the same city headed for the same destination. If the train arrives 45 minutes later than the plane, how far did they each travel?

----*

Also having some difficulty making sense of this:*

Quote:

A farmer wants to enclose a rectangular area next to a river. No fence is used on the side of the area next to the river. If the farmer has 180 ft of fencing and wants the length of the area to be 50 ft longer than the width, find the dimensions of the fenced area.

$\displaystyle Perimeter = 2l \cdot 2w$

If I solve for a complete fence line:

2(x+50)+2x=180 ... the problem doesn't work out obviously... I'm looking for some great explanations to help figure this out.*(Happy)