Question

A does 1/4 as much work as B&C does 1/2 as much work as A &B together. If C alone can finish work in 40 days , then in how many days A,B&C will finish work together?​

Answer 1

Answer:

A1/4(b+c)

b+c(1/2)a+b

c=40

4a=b+c

2b+c=a+b

sub:4a_2b+c=_a+c

5a_2b+c=c

5a_2 b=40

5a=40/5=8

2b=40/2=20

8+20+40=68