A and B can do a work alone exactly in 20 and 25 days respectively.However when they work together,they do 25% more work than is expected.If they work for a few days alone and for few days together (both being integers only),then work could not have been completed in exactly
A. 10 days
B. 14 days
C. 16 days
D. 17 days
Solution (By Examveda Team)
Let the total work=100%.Efficiency of A = 100/20 = 5% per day
Efficiency of B = 100/25 = 4% per day.
Efficiency of A and B combined (A+B)= 9% + 25% of 9 = 11.25% per day.
Now , 11.25*8=90 and 5*2=10 units.
So total days = 10 [They together work for 8 days, A works for 2 days alone.]
11.25*4=45 and 5*7=35,4*5 = 20. Total days=16
11.25*4=45 and 4*10=40 , 5*3=15. Total days=17
Only 14 is not satisfying the condition, so answer will be 14 days
This Question Belongs to User Ask Question >> Miscellaneous
Join The Discussion
Comments (2)
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
14
Let the total work=100 units.
So A = 4unit/day and B=5unit/day.
A+B = 9units/day + 25% Of 9 =9*5/4=11.25 units/day
Now , 11.25*8=90 and 5*2=10 units. So total days =10
11.25*4=45 and 5*7=35,4*5=20. Total days = 16
11.25*4=45 and 4*10=40 , 5*3=15. Total days = 17
Only, 14 days we cannot get. So B is The right answer.