Work problem

[govind_raj_76]

Jane and Ashley take 20 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it.

During the period that they were working together, Jane took an eight day leave from work. This lead Jane working for four extra days on her own to complete the project. How long did it take to finish the project ?

A) 10 Days

B) 15 Days

C) 16 Days

D) 18 Days

D) 20 Days

[clock60]

Jane and Ashley take 20 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it.

During the period that they were working together, Jane took an eight day leave from work. This lead Jane working for four extra days on her own to complete the project. How long did it take to finish the project ?

A) 10 Days

B) 15 Days

C) 16 Days

D) 18 Days

D) 20 Days

if i got wording right , the answer is E-20 days

jane`s rate=1/20
ash`rate=1/40
they worked both for x days
(1/20+1/40)*x
then jane left for 8 days, it means that 8 days ash worked alone
1/40*8
and after returning jane completed the work alone for 4 days
1/20*4

(1/20+1/40)*x+1/40*8+1/20*4=1
x=8, and total number of days 8+8+4=20