Question

A and B can do a work in 8 days B and C can do the same work in 24 days. While C and A can do it in 8 4/7 days in how many days can C do it alone?

• A. 60
• B. 40
• C. 30
• D. 10

Answer 1

Answer:

A. 60

(A+B)'s one day work = 1/8 (B+C)'s" =1/24 (C+A)'s"= 7/60 2(A+B+C)'s one day work =(1/8)+(1/24)+(7/60)=34/120 (A+B+C)'s work in one day =34/(2*120)=17/120 C's work in one day = (A+B+C)'s work in one day - (A+B)'s work in one day. =(17/120)-(1/8)=1/60 C can complete the work in 60 days