6 dogs and 8 cats do a work in 12 days, while 5 dogs and 8 cats finish it in 16days, 4dogs and 8 cats will finish it in.  Choose the correct choice from the following:
A) 14 days B) 20 days C) 24 days D) 12 days E) 28 days
Explanation:   (6dogs+8cats) 1 day work = 1/12   (5dogs+8cats) 1 day work = 1/16   substract 1 and 2   i.e 1/12 – 1/16= 1/48   i.e 1 dog 1 day work is 1/48   4dogs + 8cats 1day work is 1/16 – 1/48 = 1/24   thus 4 dogs and 8 cats will finish it in 24 days   Answer: Option 24 days
<result>C</result>
6 dogs and 8 cats do a work in 12 days, while 5 dogs and 8 cats finish it in 16days, 4dogs and 8 cats will finish it in.