Question

4) A, B and C can do a place of work in 38, 54 and 72 days
respectively. They started the work but A left 8 days before
de completion of the work while B left 12 days before the
completion. The number of days for which worked is
C1 12
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Answer 1

Answer:

Step-by-step explanation:

A does the work in 36 days.

∴ In 1 day A does  

1/36  work.

B does the work in 54 days.

∴ In 1 day B does    

1/54   work.

C does the work in 72 days.

∴ In 1 day C does

1/72   work.

Let the work is finished in x days.

So A works for x-8 days.

∴ A does  

x−8 / 36 work

B works for x-12 days.

∴ B does  

x−12/54   work.

C works for x days.

∴ C does  

x/72  work.

The sum of their works = the whole work = 1 work.

∴    (x−8/36)+(x-12/54)+(x/72) =  1

(6x-48+4x-48=3x)/216=1

(13x-96)/216=1

13x=312

x=24

So the work is finished in 24 days.

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