Akshita and Raina are typing a book, but have only one laptop to work upon. They decided that they will work on alternate basis such that Akshita works for the first day, Raina works for the second day, Akshita for the third day and so on. Akshita alone can finish the typing work in 16 days, while Raina will take 24 days if she works alone on the entire book. How many days will they take to finish the typing work if they work on alternate basis?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 19.
Akshita alone can finish the typing work in 16 days, while Raina will take 24 days
L.C.M(16, and 24) = 48
The efficiency of Akshita = 48/16 = 3 units
The efficiency of Raina = 48/24 = 2 units
They work on alternate days, starting with Akshita
⇒ 1st day Akshita work = 3 units
⇒ 2nd day Raina work = 2 units
⇒ 2 days = 5 units (multiplied by 9)
⇒ 18 days = 45 units
On 19th day Akshita will work = 3 units
Thus, work will be completed in 19 days