Modern Math / P&C / Counting — Intermediate Practice

IntermediateHardMCQ

Modern Math / P&C / Counting/Time and Work, alternating days with efficiency drop

A piece of work can be completed by A alone in 12 days and by B alone in 18 days. They decide to work in the following 3 - day cycle: A alone on day 1, B alone on day 2, and both together on day 3. However, on every joint day, each of A and B works at only 80% of his usual efficiency. If they keep repeating this 3 - day cycle, the total number of days required to finish the work is:

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