Question

Kaela paints her house in 10 1/2 days working 7 1/2 hours per day.How long would it take Kaela to do the job if she worked 9 hours per day?

Answer 1

Answer:

The number of days it would take if she worked 9 hours a day would be;

$8\frac{3}{4}\text{ days}$

Explanation:

Given that Kaela paints her house in 10 1/2 days working 7 1/2 hours per day.

$\begin{gathered} 10\frac{1}{2}days=\frac{21}{2}\text{days} \\ 7\frac{1}{2}hours\text{ per day=}\frac{15}{2}hours\text{ per day} \end{gathered}$

The total number of hours spent is;

$t=\frac{21}{2}\times\frac{15}{2}=\frac{315}{4}\text{hours}$

If Kaela worked 9 hours daily, the number of days she would need is;

$d=\frac{t}{9}=\frac{\frac{315}{4}}{9}=\frac{315}{36}=8\frac{3}{4}\text{ days}$

Therefore, the number of days it would take if she worked 9 hours a day would be;

$8\frac{3}{4}\text{ days}$