Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?

$15\frac{1}{5}$ days

Akbar = 12 days, Anthony = 20 days,

⇒ They work on alternate days, starting with Anthony,

⇒ 1st day = 3 units,

⇒ 2nd day = 5 units,

⇒ Every 2 days = 8 units of work is completed,

⇒ So, in 14 days, 56 units of work will be completed,

⇒ In 15 days, 59 units of work will be completed,

⇒ Therefore, in \( {15 }_{5 }^{ 1} \) days, total work will be completed.