Answer:
[tex]13\frac{1}{3} hours[/tex]
Step-by-step explanation:
Let the total work done by nancy = 1
Total time taken by Nancy to complete a job = 8 hours
Total work done by Nancy in 1 hour = [tex]\frac{1}{8}[/tex]
Total work done together by Carole and Nacy in 5 hours = 1
Total work done by together Carole and Nacy in 1 hours = [tex]\frac{1}{5}[/tex]
Now, total job done by Carole alone in 1 hour is:
= Total work done by Carole and Nacy in 1 hours - Total work done together by Nancy in 1 hour
= [tex]\frac{1}{5} -\frac{1}{8}[/tex]
= [tex]\frac{8 - 5}{40}[/tex]
= [tex]\frac{3}{40}[/tex]
Total work done by Carole in 1 hour = 3/40
Number of hours required by Carole to complete the job alone = 40/3 hours.
Number of hours taken by Carole to do the job alone = 40/3 = [tex]13\frac{1}{3} hours[/tex]
