Question

Shelly Van Doren hired a contractor to refinish her kitchen. The contractor said the job would take 49 1/2 hours. To date, the contractorhas worked the following hours:MondayTuesdayWednesday419,413110ThursdayPridayHow much longer should the job take to be completed?Number of hours

Answer 1

We have to calculate how much longer should the job take to be completed.

To do that we will substract from the budgeted hours (49 1/2 hours) the hours that have been already dedicated to the job.

The hours that have been already dedicated to the job will be the sum of the hours in the table.

Then, we start by adding the hours in the table:

`\begin{gathered} (4+(1)/(4))+(9+(1)/(8))+(4+(1)/(4))+(3+(1)/(2))+(10+(5)/(8)) \\ (4+9+4+3+10)+((1)/(4)+(1)/(8)+(1)/(4)+(1)/(2)+(5)/(8)) \\ 30+((1)/(4)+(1)/(4)+(1)/(8)+(5)/(8)+(1)/(2)) \\ 30+((1)/(2)+(6)/(8)+(1)/(2)) \\ 30+(1+(3)/(4)) \\ 31+(3)/(4) \end{gathered}`

The total hours already invested in the job are 31 3/4.

Then, we can calculate the difference as:

`\begin{gathered} (49+(1)/(2))-(31+(3)/(4)) \\ (49-31)+((1)/(2)-(3)/(4)) \\ 18+((2)/(4)-(3)/(4)) \\ 18-(1)/(4) \\ 17+(4)/(4)-(1)/(4) \\ 17+(3)/(4) \end{gathered}`

Answer: the number of hours is 17 3/4.