Hello, maryanna91!

Im not quite sure how to set this word problem up.

I'm not surprised, you've mixed *two* word problems. 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. I'll take a *guess* at what you meant . . . Code:

o N
* ↑
100 * ↑
* ↑ 2(x+5)
* ↑
* ↑
W o ← ← ← ← ← o P
2x

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: .

Therefore: .