Chapter 9.6, Problem 5ACYP

To determine

To calculate: Time will take Anthony if he rakes them by himself this year.

Answer to Problem 5ACYP

Time will take Anthony if he rake them by himself this year $=15\text{ hours}$ .

Explanation of Solution

Given information: It took Anthony and Travis $\text{6}$ hours to rake the leaves together last year. The previous year it took Travis $\text{10}$ hours to do it alone.

Calculation:

Anthony and Travis $\text{1}$ hours to rake the leaves together $=\frac{1}{6}$

Travis $\text{1}$ hours to rake the leaves alone $=\frac{1}{10}$

Let, Anthony $\text{1}$ hours to rake the leaves alone $=\frac{1}{x}$

Then

  $\begin{array}{l}\frac{1}{x}+\frac{1}{10}=\frac{1}{6}\\ \frac{1}{x}=\frac{1}{6}-\frac{1}{10}\\ \frac{1}{x}=\frac{4}{60}\\ x=15\end{array}$

Time will take Anthony if he rake them by himself this year $=15\text{ hours}$ .