Solving Advanced Quadratic Word Problems

This video tutorial covers solving rate and time problems using the formula rate x time = distance, and work problems using rate x time = work. It includes examples involving Doug's conference trip and a work problem with Alfonso and Zoe, both solved using quadratic equations. The video concludes with a call to practice using a worksheet.

What is the basic formula mentioned for solving rate and time problems?

• Rate = Distance / Time

• Time = Distance / Rate

• Rate * Time = Distance

• Distance = Rate + Time

How much slower did Doug drive on his return trip due to construction?

• 15 km/h slower

• 5 km/h slower

• 20 km/h slower

• 10 km/h slower

What is the algebraic expression for the time taken for the return trip in Doug's problem?

• t / 2

• t + 2

• t - 2

• 2t

What type of equation is formed when solving for Doug's driving speed?

• Linear equation

• Cubic equation

• Quadratic equation

• Exponential equation

What is the correct speed Doug drove to the conference?

• 30 km/h

• 50 km/h

• 20 km/h

• 40 km/h

How long does it take for Alfonso and Zoe to complete the work together?

• 8 hours

• 10 hours

• 12 hours

• 6 hours

What is Zoe's rate of work if she completes the job alone in t hours?

• t / 1

• 1 / t

• t

• 1 * t

What is the correct expression for the total work done by Alfonso and Zoe together?

• 8 / (t - 30) + 8 / t

• 8t - 30 + 8t

• 8 / t - 30 + 8 / t

• 8t / (t - 30) + 8t / t

Which is a possible realistic solution for the time Zoe takes to complete the job alone?

• 60 hours

• 40 hours

• 6 hours

• 30 hours

What is Alfonso's time to complete the job alone if Zoe takes 40 hours?

• 70 hours

• 10 hours

• 60 hours

• 30 hours