Question

A and B can do a piece of work in
30 days; B and c in 24 days ;c
and A in 40 days. How long will it
take them to do the work together
In what time can each finish it,
working alone ?​

Answer 1

Answer:

If they work together it will take 20 days

It takes 120 days for A ,40 days for B and 60 days for C.

Step-by-step explanation:

Given:

(1/A)+(1/B)=(1/30)

(1/B)+(1/C)=(1/24)

(1/C)+(1/A)=(1/40)

add both sides

(1/A)+(1/B)+(1/B)+(1/C)+(1/A)+(1/C)

=(1/30)+(1/24)+(1/40)

(1/A)+(1/B)+(1/C)=1/20

1.Answer =20

(1/A)=(1/20)-(1/B+1/C)

(1/A)=1/120

Therefore,A takes 120 days

similarly,

B takes 40 days and C takes 60 days