Ab and c can do a piece of work in 36 54 and 72 days. started together and after 8 days, a left off. after 12 days b also left off. how many days required to finish the entire job

answer- The work is completed in 142 days

C works for 24 days

Number of days in which A can do work = 36 (Given)

Number of days in which B can do work = 54 (Given)

Number of days in which C can do work = 72 (Given)

Let the work be completed in =  x days.

Let C work for = x days

Then A will work for = (x - 8) days and B will works for = (x - 12) days.

Thus, according to the question,

[ (x−8)/36 (x−12)/ 54+x/72] = 1

[(6x−48+4x−48+3x)/216] =1

13x−96

=216

13x =216+96

13x = 312

x = 312/13

x = 24

Therefore, the number of days for which C worked was 24.

lakshmi=8day = 48 unit

raji = 4day= 48 unit

so, 216+96 = 312

sujata= 312/3= 104

so,

104+8+4=116 days

step-by-step explanation:

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