A and B can do a piece of work in 10 hours, B and C in 12 hours and Cand A in 15 hours. How long will they take if they work together? How long will each take to complete the work independently?

A and B can do a piece of work in 10 hours, B and C in 12 hours and Ca

1.	A and B can do a piece of work in 10 hours, B and C in 12 hours and Cand A in 15 hours. How long will they take if they work together? How long will each take to complete the work independently?
Answer» Answer Expert Verified4.6/539Brainly UserSolution :-A and B can do a piece of work in 10 hours.(A + B)'s one hour work = 1/10B and C in 12 hour(B + C)'s one hour work = 1/12C and A in 15 hours(A + C)'s one hour work = 1/15Now,Adding the total's one hour work = 1/10 + 1/12 + 1/15=> (A + B + B + C + C + A) = (6 + 5 + 4)/60=> 2(A + B + C)= 15/60=> ( A + B + C) = 15/(60 × 2) = 1/8They work together can do it in 8 days.1/A = 1/8 - 1/12=> 1/A = (3 - 2)/24=> 1/A = 1/24=> A = 24A alone do it in 24 days .1/B = 1/8 - 1/15=> 1/B (15 - 8)/120=> 1/B = 7/120=> B = 120/7 = 17 (approx.)B alone do it in 17 days .1/C = 1/8 - 1/10=> 1/C = (5 - 4)/40=> 1/C = 1/40=> C = 40C alone do it in 40 days.