Question

a b and c together can do a piece of work in eighth days . A alone can do it in 20 days. A and B can do it in 14 days. In how many days will a and c do the same work?
​

Answer 1

Answer: 56/3 Approx (18.67 days)

Step-by-step explanation:

A B and C complete in 8 days so the work they do in 1 day= 1/8th part of work

A alone takes 20 days = 1/20th part of work

A and B took 14 days = 1/14th part of work

C took x days = 1/xth part of work

=> 1/8 = 1/20+ 1/14+1/x

=> 1/280 = 1/x

=> x = 280 days

A and C complete their work together

1/20 + 1/280 = 3/56th part of work

=> Total days required = 56/3 = 18.67 days