If A and B together can complete a work in 18 days, A and C together…

Question

If A and B together can complete a work in 18 days, A and C together in 12 days, and B and C together in 9 days, then B alone can do the work in:

Accepted Answer

Option B. 24 days. Answer & Solution Answer: Option B Solution: & One\, day's\, work\, of & ( A + B ) = 118\,.......(1) & One\, day's\, work\, of & ( A + C ) = 112\,....... ( 2 ) & One\, day's\, work\, of & ( B + C ) = 1/9\,....... ( 3 ) & Adding\, ( 1 ) ,\, ( 2 )\, and\, ( 3 ) & 2 × ( A + B + C )…