Question

A,band c can do a piece of work in 36,54 and 72 days respectively.they started the work but a left 8 days before the completion of the work while b left 12 days before the completion.the number of days for which c worked is?

Answer 1

so c works for 24 days

Answer 2

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.