Question

Sujata and suchitra can weave a saree in 30 days and 25 days, respectively.They work together on a sari,but after 12 days Suchitra leaves.In how many days will Sujata finish the remaining work?

Answer 1

Let total work be 1
Then sujata does 1/30 in 1 day.. Suchitra does 1/25 in 1 day
So.. In 12 days.. Total work done=12(1/25 + 1/30)=12 x 11/150 = 44/50
Remaining work= 1 - 44/50 = 6/50 = 3/25
Sujata finishes the remaining work in (3/25)/(1/30) days = 3 x 30 /25 = 18/5 = 3.6 days

Answer 2

Let sujata be A and suchitra be B.
A can do a piece of work in 30 days.
A' s one day work - 1/30
B can do a piece of work in 25 days
B' s one day work-1/25
(A+B)'s 1 day work =1/30+1/25=||/150
(A+B)'s 12 day work=11/150*20= 22/15