A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?
This Question Belongs to User Ask Question >> Miscellaneous
Join The Discussion
Comments ( 1 )
Related User Ask Questions
Which of the following is not a primary function of a Bank?
A. Granting Loans
B. Collecting Cheques/Drafts customers
C. Facilitating import of goods
D. Issuing Bank Drafts
A. Regulatory jurisdictional fight between SEBI and IRDA
B. They don’t offer better tax benefits
C. They offer lesser returns compared to traditional insurance policies
D. All of the above
The Chameli Devi Jain Award is given for an outstanding woman ____?
A. Scientist
B. Reporter
C. Player
D. Teacher
Let there are 18 works.
Together they take 18 days so per day they complete 1 work.
So their efficiency per day is 1 work.
Now,
Let B completes the work in x days
So efficiency of B per day is 18/x works.
As per question B will complete half of the work in 3/4 times x
i.e; A will complete 0.5*(18) works in 3x/4 time
So A will complete 9 works in 3x/4 time
Now the amount of work done by A in x time is (9)*(4/3) = 12 works
So efficiency of A per day is 12/x
Together their efficiency per day is 1 work
So we can write 18/x + 12/x =1
30/x = 1
x=30
We get time taken by B to complete the work to be 30 days.