Question

A can do a piece of work in 60 days.he works for 15 days and then b alone finishes the remaining work in 30 days. the two together can finish the work in

Answer 1

They toghether will take 24days to complete the work

Answer 2

Together they can finish the work in 24 days.

Given data :

A finishes in = 60 days

A Works for = 15 days

B finishes remaining work in = 30 days

Let,the total amount of work = 1

So, A finishes in 60 days = 1

A finishes in 1 day = 1/60

A finishes in 15 days = 15/60 = 1/4

Remaining work = 1-1/4 = 3/4

B finishes in 30 days = 3/4

B finishes in 1 day = 1/40

So,in 1 day

A+B finishes = 1/60 + 1/40 = (2+3)/120 = 5/120 = 1/24

So they finishes 1/24 work in = 1 day

They finishes 1 work in = 1 × 24/1 = 24 days (answer)