A, B and C can do a piece of work in 6 days 12 days and 24 days respectively.

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asked May 15 in Class VIII Maths by muskan15 (-3,360 points)

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 ?

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answered May 15 by priya12 (-12,269 points)

A can do a piece of work in = 6 days

B can do a piece of work in = 12 days

C can do a piece of work in = 24 days

∴ A’s 1 day work = 1/6

∴ B’s 1 day work = 1/12

∴ C’s 1 day work = 1/24

(A + B + C)’S 1 day work = 1/6 + 1/12 + 1/24

= (4 + 2 + 1)/24 = 7/24

∴ (A + B + C) can do the work in = 24/7 days

= 3. 3/7 days

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