a और b मिलकर किसी काम को 12 दिनों में तथा b और C मिलकर उसी काम को 16 दिनों में करते है अगर A 5 दिन काम करता है B 7 दिन में काम करता है तो शेष काम C 13 दिनों में ख़त्म करता है तो B अकेला पूरा काम कितने दिनों में ख़त्म करेगा ?

Options

A. 48 days
B. 24 days
C. 16 days
D. 12 days

Answer

a

Explanation

(a)
According to questions A worked for 5 days and
B worked 7 days
if A and B work together for 5 days they would complete `4xx5=20`uiits
reamaining work `=48-20=28` units Now B has to work for 2 more days and if he does't it along with C for 2 days , then , both would complete `(3xx2)` = 6 units of work work left `=28-6=22` units work left `=28-6=22` units now C completes in `13-2=11` days
so C, works `(22)/(11)` = 2untis /days (efficiceny )and b+C does 3 units days (efficiency )
so B does 1 unit /day)
B will complete the whole work in `(48)/(1)=48`days