SOLUTION: Two boats leave the dock at the same time and travel in opposite directions. One travels 9 mph faster than the other. After 2 hours the boats are 170 miles apart. How fast is each
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Question 1124228: Two boats leave the dock at the same time and travel in opposite directions. One travels 9 mph faster than the other. After 2 hours the boats are 170 miles apart. How fast is each boat traveling?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Let be the rate (the speed) of the slower motorboat, in miles-per-hour.
Then the rate of the faster motorboat is .
the distance
after :
->the slower motorboat
->the faster motorboat
since they travel in opposite directions, you need to add to get how par the boats are apart
since given that the boats are miles apart, your equation is
Simplify and solve the equation for :
The speed of the motorboat is .
The speed of the faster motorboat is .
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