A can do a job in 16 days and B can do the same job in 12 days. With the help of C, they can finish the job in 6 days only. Then, C alone can finish it in
Answers
Answer:
search-icon-header
Search for questions & chapters
search-icon-image
Class 11
>>Applied Mathematics
>>Numerical Applications
>>Time and work
>>A can do a job in 16 days and B can do t
Question
Bookmark
A can do a job in 16 days and B can do the same job in 12 days With the help of C, they can finish the job in 6 days only. Then, C alone can finish it in
Easy
Solution
verified
Verified by Toppr
Correct option is D)
We know that,
Number of days A requires to do piece of work =16 days
Number of days B requires to do piece of work =12 days
Let us consider number of days C requires to do piece of work =x days
Number of days A,B and C together requires to do the piece of work =6 days
∴ We can calculate, work done by A in 1 day =1/16
Work done by B in 1 day =1/12
Work done by C in 1 day =1/x
Work done by A,B and C together in a 1 day =1/6
Now, work done by A,B and C together in 1 day is also equal to the sum of work done by each of them in 1 day =1/16+1/12+1/x=7/48+1/x
Therefore,
7/48+1/x=1/6
(7x+48)/48x=1/6
42x+288=48x
6x=288
x=288/6=48
∴C can do the work in 48 days.
Step-by-step explanation:
Please mark me as brainliest