A and B complete a piece of work in 24 days.B and C do the same work in 36 days and A,B and C together finish it in 18 days. In how many days will:
1.A alone
2.C alone
3.A and C together,complete the work?
Answers
Ans 1) 36 days
Ans 2) 72 days
Ans 3) 24 days
Step-by-step explanation:
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Answer:
Step-by-step explanation:
The statements we can get are:-
1) A+B=24 days
2)B+C=36 days
3)A+B+C=18 days
From the 2 and 3 statement we can find the value of A:-
A = days of A+B+C - days of B+C
A = 36 days - 18 days
A = 18 days
Now we know A finishes the work in 18 days. From this we can find out B.
B = days of A+B - days of A
B = 24 days - 18 days
B = 6 days
Now we know B finishes the work in 6 days. From this we can find out C.
C = days of B+C - days of B
C = 36 days - 6 days
C = 30 days
So the answer for your question is -
1. A = 18 days
2. C = 30 days
3. A+C= 24 days
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