A and B can do a piece of work in 30 days, while B and C can do the s…

Question

A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

Accepted Answer

Option A. 18 days. Answer & Solution Answer: Option A Solution: & 2(A + B + C)'s\, 1\, day's\, work & = 130 + 124 + 120 & = 15120 = 1/8 & ( A + B + C ) 's\, 1\, day's\, work & = 12 × 8 = 116 & Work\, done\, by\, A,\, B,\, C\, in\, 10\, days & = 1016 = 5/8 & Remaining\, work & = 1 - 5/8 = 3/8 & A's…