Maths A can do 2/5th of a work in 12 days while B can do 3/4th of the same work in 15 days, in how many days together will they be able to finish the work?

Q.201469: A can do 2/5th of a work in 12 days while B can do 3/4th of the same work in 15 days, in how many days together will they be able to finish the work?
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