A and B can do a piece of work in 12 days, B and C in 16 days, & A and C in 24 days. How many days will be taken by A, B and C working together? In how many days each of them will finish it by working alone?
Answers
Answer:
Search for questions & chapters
Class 11
>>Applied Mathematics
>>Numerical Applications
>>Time and work
>>A and B together can do a p...
Question
Bookmark
A and B together can do a piece of work in 12 days which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days C alone will do the work ?
Medium
Solution
verified
Verified by Toppr
Correct option is
B
24 days
Work done by (A+B)'s in 1 day=
12
1
work done by (B+C)'s in 1 day=
16
1
Let C does a work in x days
Then work done by C in a day=
x
1
According to the questio
A's 5 day's work+B's 7 day's work+C's 13 day's work=1
(A+B)'s 5 day's+(B+C)'s 2 days+C's 11 day's
12
5
+
16
2
+
x
11
=1
x
11
=1−
12
5
−
16
2
x
11
=
48
22
x=24days