In how many days can the do it work:

A and B can do a piece of work in 18 days; B and C in  24 days, C and A in 36 days. In how many days can they do it all working together :

  1. 12
  2. 13
  3. 16
  4. 26
Anurag Mishra Professor Asked on 7th January 2016 in Maths.
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1 Answer(s)

Answer: (3) 16 

Explanation:-
A and B can do a piece of work = 18 days
Therefore, A and B can do a work in a day = 1/18

B and C can do a piece of work = 24 days
Therefore, B and C can a work in a day = 1/24

A and A can do a piece of work = 36
Therefore, C and A can a  work in a day = 1/36

So, A, B and C all working together in a day =  (1/18 + 1/24 + 1/36)/2
=  (4 + 3 + 2)/72 x 2
=  9/72 x 2
= 1/16

Thus, 16 days can they do it all working together.

Hence, the correct answer is option (3) 16.

Anurag Mishra Professor Answered on 8th January 2016.
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