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?
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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