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:
i) A alone
2) C alone
3) A and C together complete the work
Answers
Answer:
your answer is in attachment.
Step-by-step explanation:
(A+B) can comple work in 24 days
(A+B) 1day work = 1/24
(B+C) can complete work in 36 days
(B+C) 1day work = 1/36
(A+B+C) can complete work In 18days
(A+B+C) 1day work = 1/18
1) A alone 1day work = (A+B+C)-(B+C)
= 1/18 - 1/36
= (2-1)/36
= 1/36
Hence A can complete work in 36 days.
2) C alone 1day work= (A+B+C)-(A+B)
= 1/18 - 1/24
= (4-3)/72
= 1/72
Hence C can complete work in 72days.
3) (A+C) 1day work= 1/36+1/72
= (2+1)/72
= 3/72
= 1/24
(A+C) can complete work in 24days.
#666
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