Question

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

Answer 1

Answer:

x/10

Step-by-step explanation:

Let Total work is = x

Given :

(A + B) takes 30 days to complete x work

=> work done by (A+B) in 1 day = x/30

(B+C) takes 24 days to complete x work

=> work done by (B+C) in 1 day = x/24

(A+C) takes 40 days to complete x work

=> work done by (A+C) in 1 day = x/40

work done by (A+B)+(B+C)+(A+C) in 1 day = x/30 + x/24 + x/40 = x(4+5+3)/120

work done by 2(A+B+C) in 1 day = 12x/120

= x/10