A, B, C can do the piece of work in 3days ,6days and 9days respectively in how many days the A, B, C finish the work.
Answers
Step-by-step explanation:
Here, Let X=6,Y=12, and Z=24 be the days of work corresponding to A, B and C.
In 1 day, A completes, X1 work.
In 1 day, B completes, Y1 work.
In 1 day, C completes, Z1 work.
In 1 day, A,B and C together complete, X1+Y1+Z1 of work.
∴ Working together A,B and C will complete the work in =XY+YZ+ZXXYZ days
=6×12+12×24+6×246×12×24 days
=724=373 days
Step-by-step explanation:
Here, Let X=6,Y=12, and Z=24 be the days of work corresponding to A, B and C.
In 1 day, A completes,
X
1
work.
In 1 day, B completes,
Y
1
work.
In 1 day, C completes,
Z
1
work.
In 1 day, A,B and C together complete,
X
1
+
Y
1
+
Z
1
of work.
∴ Working together A,B and C will complete the work in =
XY+YZ+ZX
XYZ
days
=
6×12+12×24+6×24
6×12×24
days
=
7
24
=3
7
3
days.