9.4 Applications of Quadratic Equations

A small pipe takes 6 hours longer to fill a tank than a large pipe. Working together, the pipes can fill a tank in 2 hours.

True/False: The amount of time that it takes the large pipe, working alone to fill the tank is less than 2 hours.

• True

• False

A small pipe takes 6 hours longer to fill a tank than a large pipe. Working together, the pipes can fill a tank in 2 hours.

True/False: The amount of time that it takes the small pipe, working alone to fill the tank is more than 8 hours.

• True

• False

The length of a rectangle is 2 feet less than three times the width of the rectangle. The area of the rectangle is 65 square feet. Find the length and width of the rectangle.

A square piece of cardboard is formed into a box by cutting 10 centimeter squares from each of the four corners and then folding up the sides. If the volume of the box is to be 49,000 cubic centimeters, what size square of cardboard is needed?

The rate of a single-engine plane in calm air is 100 miles per hour. Flying with the wind, the plane can fly 240 miles in 1 hour less time than is required to make the return trip of 240 miles. Find the rate of the wind.

To prepare for an upcoming race, a sculling crew rowed 16 miles down a river and back in 6 hours. If the rate of the river's current is 2 miles per hour, find the sculling crew's rate of rowing in calm water.