Question : 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?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
LCM of 12 and 20 is 60.
So, Total work = 60 units
Now, Efficiency of Akbar =
⇒ Efficiency of Anthony =
⇒ Total Efficiency = (5 + 3) = 8 unit/day
Now, in 2 days = 8 units of work will be done.
⇒ In 7 pairs of days (7 × 2) = 8 × 7 = 56 unit of work will be done.
Work left = 60 – 56 = 4 units
⇒ As Anthony starts the work, his efficiency is 3 units/day
⇒ On the 15
th
day Anthony will do 3 more units of work i.e. ( 56 + 3) = 59 units of work is done.
Now, the remaining work will be done by Akbar in =
⇒ Total days =
Hence, the correct answer is
