WORD PROBLEMSAlgebra= 50 miles per hour75 miles1^{1}2hoursThe average speed by plane is 500 miles per hour.= 500 miles per hour1250 miles2^{1}2hoursThe total time traveling is 4 hours.1½ hours + 2½ hours = 4 hoursThus, the answers check.SolvingWordProblemsInvolvingQuadraticEquationsMany algebraic word problems involve quadratic equations. Any time the algebraic expressionsdescribing the relationships in the problem involve a quantity multiplied by itself, a quadraticequation must be used to solve the problem. The steps for solving word problems involvingquadratic equations are the same as for solving word problems involving linear equations.Example:A radiation control point is set up near a solid waste disposal facility. The pad on whichthe facility is set up measures 20 feet by 30 feet. If the health physicist sets up acontrolled walkway around the pad that reduces the area by 264 square feet, how wideis the walkway?Solution:Step 1. Let x = Width of the WalkwayStep 2. Then,30 - 2x = Length of Reduced Pad20 - 2x = Width of Reduced PadMA-02 Page 60 Rev. 0