A piec of work can be done by 12 men in 24 days. They started the work and after 4 days then 6 more men joined them. How many days will they all take to complete the remaining work ?

Options

A. `12(1)/(3)`
B. `13(1)/(3)`
C. `11(2)/(3)`
D. `13(2)/(3)`

Answer

B

Explanation

(i) The work of 12 men in 4 days. `=(1)/(6)`
(ii) After four days, 12 men can do remaining work in (24-4) days.
`rArrM_(1)=12 and D_(1)=20`
(iii) `M_(2)=(12+6)`, find `D_(2)` by using `M_(1)D_(1)=M_(2)D_(2)` .