A is as efficient as B & C together. Working together A & B can complete a work 36 days & C alone can complete it in 60 days. A & C work together for 10 days. B alone will complete the remaining work in:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 110 days
Given A = B + C
now, A + B = 36
C = 60
LCM (36, 60) = 180
A + B's 1 day work = 180 ÷ 36 = 5 unit/day
C's 1 day work = 180 ÷ 60 = 3
A + B + C 1 day work = 5 + 3 = 8
B's 1 day work = 1 unit
A + C's 1 day work = 7 units
10 days work = 70 units
Work left = 180 - 70 = 110
B's 1 day work = 1 unit
hence time taken = 110 days