Final answer:
Vera has an estimated 12 hours and 30 minutes left to work on her project, which translates to 1.5625 days. Assuming she works 8 hours per day, she will need 2 days to complete the project. Therefore, the correct answer is (a) 2 days.
Step-by-step explanation:
The subject of this question is Mathematics, specifically dealing with the topic of time calculation. To determine how many days Vera has left to work on her project, we need to subtract the time she has already spent from the total estimated time and then divide the result by the number of working hours in a day.
First, let's convert Vera's total estimated time to hours:
16 2/3 hours = 16 + 2/3 = 16 + (2/3) × 1 hour = 16 + (2/3) × 60 minutes = 16 hours and 40 minutes.
Vera has already worked:
4 1/6 hours = 4 + 1/6 hours = 4 + (1/6) × 1 hour = 4 + (1/6) × 60 minutes = 4 hours and 10 minutes.
Now we subtract the time she has already worked from the total estimated time:
16 hours 40 minutes - 4 hours 10 minutes = 12 hours 30 minutes.
Assuming that Vera works 8 hours a day, we can find out how many days she needs by dividing the remaining hours by 8:
12 hours 30 minutes = 12.5 hours
12.5 hours / 8 hours/day = 1.5625 days.
Since Vera can't work a fraction of a day and she will need more than 1 day, she will need 2 days to complete the remaining work on her project.