Working together on project

Two employees working on the project. First make it alone for 20 days the second for 24 days. How many days will take to complete project if 5 days they work together then first will take two days holiday and after returning they completes a project together?

Correct result:

t =  12 d

Solution:

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

11t = 132

t = 12

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