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- A and B together can complete a piece of work in 8 days while B and C together can do it in 12 days.
Question 1:
A and B together can complete a piece of work in 8 days while B and C together can do it in 12 days. All the three together can complete the work in 6 days.In how much time will A and C together complete the work?
A. 8 days
Feedback A’s 1 day’s work = A + B + C’s 1 day’s work – B + C’s 1 day’s work = 1/6 – 1/12 = 1/12
B’s 1 day’s work = A + B’s 1 day’s work – A’s 1 day’s work = 1/8 – 1/12= 1/24
C’s 1 day’s work = B+ C’s 1 day’s work – B’s 1 day’s work = 1/12 – 1/24 = 1/24
A +B’ 1 day’s work = 1/12 + 1/24 = 3/24
Therefore, A and C together will finish the whole work in 24/3 = 8 days
B’s 1 day’s work = A + B’s 1 day’s work – A’s 1 day’s work = 1/8 – 1/12= 1/24
C’s 1 day’s work = B+ C’s 1 day’s work – B’s 1 day’s work = 1/12 – 1/24 = 1/24
A +B’ 1 day’s work = 1/12 + 1/24 = 3/24
Therefore, A and C together will finish the whole work in 24/3 = 8 days
B. 10 days
C. 20 days
D. 12 days
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