A group of 5 people can do a piece of work in certain number of of days. If 4 more people join the group, they take 12 days less to do the same work. In work days can a group of 3 people do the work ?

Options

A. 30
B. 45
C. 15
D. 60

Answer

B

Explanation

(i) Use `M_(1)D_(1)=M_(2)D_(2)`
(ii) Let five people do the piece of work in x days. Find x.
(ii) `5(x)=9(x-12)`
(iii) Let three people do the same work in y days.
(v) Use, `5xx x=3xxy` and find y