A and B complete a piece of work in 24 days.

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

A and B complete a piece of work in 24 days. B and C do the same work in 36 days and A, B and C together finish it in 18 days. In how many days will

 (i) A alone,
(ii) C alone,
(iii) A and C together, complete the work ?

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1 Answer

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answered May 15 by navnit40 (-4,292 points)

A and B complete a piece of work in = 24 days
B and C complete a piece of work in = 36 days
(A+B+C) complete a piece of work in = 18 days
(A+B)’s 1 day work = 
(B+C)’s 1 day work = 
(A+B+C)’s 1 day work = 

(i) A’s 1 day work = 1/18 – 1/36

= (2 – 1)/36 = 1/36

(ii) C’s 1 day work = 1/18 – 1/24

= (4 – 3)/72 = 1/72

∴ C will complete the work in 72 days

(iii) (A + C)’s 1 day work = 1/36 + 1/72

= (2 + 1)/72 = 3/72

= 1/24

∴ (A + C) will complete the work in = 24 days

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