A and B Together can Complete a Piece of Work

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?

  1. 8 days
  2.  10 days
  3.  12 days
  4.  20 days
kaushar Default Asked on 24th July 2015 in Maths.
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1 Answer(s)

Answer: (1) 8 days
Explanation:-
A and B together can complete a piece of work = 8 days
A and together can do work in a day = 1/8 day

B and C can do complete same work = 12 days
B and C can do work in a day = 1/12 day

All the three together can complete the work = 6 days
All the three together can do work in a day = 1/6

A and C can do work in a day = 2 x 1/6 – ( 1/8 + 1/12)
= 1/3  – 5/24
= (8 – 5)/24
= 3/24 = 1/8
All the three together can do a piece of work = 8 days
Hence, the answer is (1) 8 days.

Anurag Mishra Professor Answered on 24th July 2015.
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