A and B together can do a piece of work in 12 days, B and C together in 15 days, and C and A together in 20 days. C alone will take the time to do the work

A. 45 Days

B. 50 Days

C. 60 Days

D. 65 Days

C. 60 Days

A, B तथा C का 1 दिन का कार्य

= ½ (1/12 + 1/15 + 1/20) = ½ (5+4+3 / 60) = 1/10

C का 1 दिन का कार्य = 1/10 – 1/12 = 6-5 / 60 = 1/60

∴C पूरा कार्य करेगा 60 दिन में