Respuesta :
ANSWER;
The fraction of the time she worked was 7/9 of the time the polls were opened
EXPLANATION;
Here, we want to get the fraction of the time in which Marlene worked
What we have to do here is to calculate the total time the pool was opened, then calculate the total time in which she went for break. Then we divide the break time by the total opening time
We proceed as follows;
From 7 : 30 am to 9pm
7:30 am to 9:30 pm is 14 hours
Kindly note that we are to subtract 30 minutes, so we have the total time as 13 hours and 30 minutes
For ease of calculations, we shall have all the time in minute
Recall, 60 minutes are in an hour
So, in 13 hours, we have 13(60) = 780 minutes
Added to the 30, we have a total of 780 minutes + 30 minutes = 810 minutes
Break Times
The first break is 10; 30 am to 12 pm; that is a total time of 1 hour 30 minutes
The second break is from 5:30 pm to 7 pm; that is another 1 hour 30 minutes
Total time spent on breaks is 3 hours
Converting to minutes, we simply multiply by 60 and that will give 3(60) = 180 minutes
Thus, we can now proceed to divide;
[tex]\frac{180}{810}\text{ = }\frac{6}{27}\text{ = }\frac{2}{9}[/tex]The above is the fraction spent on breaks. To get the farction worked, we simply subtract the above fraction from 1
We have this as;
[tex]1\text{ - }\frac{2}{9}\text{ = }\frac{7}{9}[/tex]