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

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

`8(3)/(4)\text{ days}`

Step-by-step explanation:

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

`\begin{gathered} 10(1)/(2)days=(21)/(2)\text{days} \\ 7(1)/(2)hours\text{ per day=}(15)/(2)hours\text{ per day} \end{gathered}`

The total number of hours spent is;

`t=(21)/(2)*(15)/(2)=(315)/(4)\text{hours}`

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

`d=(t)/(9)=((315)/(4))/(9)=(315)/(36)=8(3)/(4)\text{ days}`

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

`8(3)/(4)\text{ days}`