Question 1058886: greg leaves moose lodge at 1:00 p.m. on snow shoes traveling east at 2.5 miles per hour. his wife, tricia, leaves the lodge at the same time on cross country skis traveling west at 5 miles per hour. at what time will they be 10 miles apart?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! Time after 1:00 p.m. is x.
Their distances form a right triangle, so using Pythagorean Theorem formula for the distances:
You are right. I misread the description. They went in OPPOSITE directions.
You want this:
Answer by MathTherapy(10556)  (Show Source):
You can put this solution on YOUR website! greg leaves moose lodge at 1:00 p.m. on snow shoes traveling east at 2.5 miles per hour. his wife, tricia, leaves the lodge at the same time on cross country skis traveling west at 5 miles per hour. at what time will they be 10 miles apart?
They traveled in OPPOSITE directions, AWAY from each other, and will be 10 miles apart,  after leaving, or at: 
Note also that the SUM of their respective distances covered will be 10.
FYI: This situation is represented by a STRAIGHT line.
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