A and B can do a piece of work in
18 days, B and C in 12 days and C and Ain
18 days. Find the time in which A, B and
C working together can finish the work
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Answer:
A and B one day work = 1/18.......1
B and C one day work = 1/12.......2
C And A one day work = 1/18.......3
add 1, 2 and 3
A+ B + B + C + C + A = 1/18+1/12+1/18
2 ( A + B + C ) = (2 + 3 + 2)/36
2 ( A + B + C ) = 7/36
A + B + C = 7/36*1/2
=> 7/72
means A , B and C together can complete 7/72th
of work in a day.
by taking the reciprocal, we can get number of days they will complete the job working together
72/7 =10 ²/₇ days
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