Question

A can complete a piece of work in 36 days, b in 54 days and c in 72 days. All the three began the work the work together but a left 8 days before the completion of the work and b 12 days before the completion of work. Only c worked up to the end. In how many days was the work completed? A

Answer 1

No. of days = x

A work in one day = 1/36

B work in one day = 1/54

C work in one day = 1/72

(x-8)/36 + (x - 12)/54  + x/72 = 1

LCM = 216

 6x - 48 + 4x - 48 + 3x    =  1

            216

13x = 216 + 96

x = 312/13 = 24

Answer 2

Answer:

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