Question

An office remodeling job takes 5 & 1/2 days to complete. Before working

on the job the builder estimated the job would take 4 & 3/4 days. What
percent of the estimated time is the actual time? ( Round your answer to
the nearest whole percent.)

Answer 1

Answer: The percent of the estimated time is the actual time is about 14%.

Explanation:

As per given,

Actual time of completing the job =
`5(1)/(2)\text{ days}=(11)/(2)\text{ days}`

Estimated time for completing the job =
`4(3)/(4)\ \text{days}=(19)/(4)\ \text{days}`

The percentage error is given by:-

`\%\text{ error}= \frac{|\text{Estimated-Actual}|}{\text{Actual}}*100`

`=(|(19)/(4)-(11)/(2)|)/((11)/(2))*100\\\\\\=(|(19-22)/(4)|)/((11)/(2))*100\\\\\\=(|(-3)/(4)|)/((11)/(2))*100\\\\\\=((3)/(4))/((11)/(2))*100\\\\\\=(3*2)/(11*4)*100\\\\\approx14\%`

The percent of the estimated time is the actual time is about 14%.