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**A can-do 1/5th of a certain work in 2 days and B can do 2/3rd of it in 8 days. In how much time can they together complete the work?**

Answer:

Given:

A can do 1/5th of a certain work in = 2 days

So, A’s, 1 day work = 1/5 × 1/2 = 1/10

B can do 2/3rd of a certain work in = 8 days

So, B’s, 1 day work = 2/3 × 1/8 = 1/12

(A + B)’s 1 day work = 1/10 + 1/12

= (6+5)/60

= 11/60

∴ (A + B) can do the complete work in = 1/(11/60) days

= 60/11 days

= 5 5/11 days

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