Working together on project

Two employees did working on the project. First, make it alone for 20 days, the second for 24 days. How many days will it take to complete the project if five days they work together, then first will take two days holiday, and after returning they complete a project together?

Correct answer:

t =  12 d

Step-by-step explanation:

(t-2)/20+t/24 = 1

11t = 132

t = 132/11 = 12

t = 12

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