Im not quite sure how to set this word problem up.
I'm not surprised, you've mixed two word problems.
I'll take a guess at what you meant . . . Two boats leave simultaneously from the same port.
One travels due north and the other flies due west.
The northbound boat flies 5 mph faster than the eastbound boat,
and after 2 hours the planes are 100 miles apart.
Find the rate at which each boat is traveling.
100 * ↑
* ↑ 2(x+5)
W o ← ← ← ← ← o P
Let = rate of the westbound boat (in mph).
Then = rate of the northbound boat.
They start together at P.
After 2 hours, the westbound boat travels miles to
During the same 2 hours, the northbound boat travels miles to
At that time, they are 100 miles apart: .
Pythagorus says: .
. . which simplifies to: .
Quadratic Formula: .
. . The positive root is: .