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# set up and solve the equations for word problems

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1. Anthony leaving Kingston at 2:00pm and drives to Queensville, 160 mi distant, at 45mi/h. At 2:15pm Helen leaves Queensville and drives to Kingston at 40mi/h. At what time do they pass each other?

2. The hypotenuse of a right triangle has a length of 20cm. The sum of the lengths of the other two sides is 28cm. Find the lengths of the other two sides of the triangle.

3. A homeowner wishes to fence in three adjoining garden plots, one for each of her children. If each plot is to be 80ft square feet in area, and she has 88 ft of fencing material on hand, what dimensions should each plot have?

4. Solve the inequality. Express the solution using interval notation and graph the solution.
((5))/(x3-x2-4x+4) < 0.

https://brainmass.com/math/basic-algebra/set-up-solve-equations-word-problems-494032

#### Solution Preview

Please see the attachment for detailed explanations.

1. Anthony leaving Kingston at 2:00pm and drives to Queensville, 160 mi distant, at 45mi/h. At 2:15pm Helen leaves Queensville and drives to Kingston at 40mi/h. At what time do they pass each other?

See attached file for chart.

Let x be the distance Anthony has traveled when he met with Helen.
And t (in hr) be the time he has traveled.
Then distance x = speed * time, so
x = 45t (1)

For Helen:
She traveled 160 - x miles when the two ...

#### Solution Summary

This solution explains how to set up and solve the equations for word problems.

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