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Question

A, B and C can do a piece of work in 6 days, 12 days and 24 days respectively . In what time will they all together do it ?

A
337
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B
332
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C
535
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D
538
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Solution

The correct option is A 337
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, 1X work.

In 1 day, B completes, 1Y work.

In 1 day, C completes, 1Z work.

In 1 day, A,B and C together complete, 1X+1Y+1Z of work.

Working together A,B and C will complete the work in =XYZXY+YZ+ZX days

=6×12×246×12+12×24+6×24 days

=247=337 days.

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