A, B and C can do a piece of work in 6, 12 and 24 days respectively. In what time will they altogether do it ?
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Answer:
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
Step-by-step explanation:
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