Nerine Combines Walking (At 6 Km/hr) and Running (At 18

question 11

Multiple Choice

Nerine combines walking (at 6 km/hr) and running (at 18 km/hr) in her fitness program. Last week she exercised a total of 10 hours and traveled 108 kilometers. How many hours did she walk?

• A) 5 hours
• B) 6 hours
• C) 4 hours
• D) 8 hours
• E) 2 hours

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Definitions:

Completing the Square

A method used in algebra to solve quadratic equations by converting the equation into a perfect square trinomial form.

Perfect Square Trinomial

A polynomial of the form \(a^2 + 2ab + b^2\) or \(a^2 - 2ab + b^2\), where the square of the first term plus/minus twice the product of the first and second term plus the square of the second term.

Real Solutions

The solutions of an equation that result in real numbers.

Complex Solutions

Solutions to equations that include imaginary numbers, indicating values that cannot be found on the real number line.