Hey guys ❤️
A and B can do a bit of work in 12 days. B and C can do it in 15 days while C and A can do it in 20 days. In how long will they complete it cooperating? Additionally, in how long can A alone do it?
Answers
Answered by
7
Solution
Given :-
- Working day of (A + B) = 12
- Working days of (B + C) = 15
- Working days of ( C + A) = 20
Find :-
- working days of A
Explanation
According to question,
- (A + B )'s 1 days work = 1/12
- (B + C)'s 1 days work = 1/15
- (C + A)'s 1 days work = 1/20
then ,
Including 1 days work be
==> 2(A + B + C) = ( 1/12 + 1/15 + 1/20)
==> 2(A + B + C) = ( 5 + 4 +3)/60
==> 2(A + B + C) = 12/60
==> 2(A + B + C) = 1/5
==> ( A + B + C) = 1/10 .
Since
- If they working together then, they can complete work in 10 days.
_________________________
Now, Calculate working days of A if he work alone
==> A's 1 days work = 1/10 - 1/15
==> A's 1 days work = ( 6 - 4)/60
==> A's 1 days work = 2/60
==> A's 1 days work = 1/30
Hence
- A can complete work in 30 days if they work alone .
________________________
Answered by
0
Answer:
hope it's helpful
Step-by-step explanation:
refer to above picture for answer
Attachments:
Similar questions