A can do a piece of work in 10 days, B in 18 days, and A, B and C together in 4 days.

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asked May 15 in Class VIII Maths by priya12 (-12,269 points)

A can do a piece of work in 10 days, B in 18 days, and A, B and C together in 4 days. In what time would C alone do it?

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answered May 15 by navnit40 (-4,270 points)

A can do a piece of work in = 10 days

B can do a piece of work in = 18 days

(A + B + C) can do a piece of work in = 4 days

∴  A’s 1 day work = 1/10

   B’s 1 day work = 1/18

(A + B)’s 1 day work = 1/10 + 1/18 = (9 +5)/90

= 14/90 = 7/45

(A + B + C)’s 1 day work = ¼

∴ C’s 1 day work =1/4  – 7/45

= (45 – 28)/180 = 17/180

∴ C can do the piece of work in = 180/17 days

= 10. 10/17 days

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