Answer:
13.3 hours
Step-by-step explanation:
% done by Nancy in 8 hours = 100% = 1
8 (% done by Nancy in 1 hour) = 1
% done by Nancy in 1 hour = 1/8
n = 1/8
Similarly,
% done by Nancy in 5 hours + % done by Carole in 5 hours = 1
5 (% done by Nancy in 1 hour + % done by Carole in 1 hour) = 1
n + c = 1/5
Since n = 1/8
[tex] \frac{1}{8} + c = \frac{1}{5} \\ c = \frac{3}{40} [/tex]
% done by Carole in 1 hour = 3/40
Thus,
time taken by Carole to finish the job
[tex] =\frac{1}{ \frac{3}{40} } \\ = \frac{40}{3} \\ = 13.3 \: hours[/tex]
