Question

A B C together can finish a work in 16/z days.A and B together can finish the work in z days. B and C together can finish the work in z/2 days. C and A together can finish the work in 2z/3 days. Find the value of z?​

Answer 1

Step-by-step explanation:

1 day's work of (A+B)+(B+C)+(C+A)=

16

1

+

12

1

+

24

1

=

48

9

⇒ 1 day's work of (A+B+C)=

2

1

×

48

9

=

96

9

∴ 1 day's work of A alone =

96

9

−

12

1

=

96

1

∴A can do the whole work alone in 96 days