Amirtha alone completes half of the work in 8 days and Pavithra alone completes 75% of the work in 36 days

Amirtha alone completes half of the work in 8 days and Pavithra alone completes 75% of the work in 36 days. If Amirtha and Pavithra started the work together and after 6 days, Amirtha left the work, in how many days Pavithra alone completes the remaining work?

A.            25 days

B.            24 days

C.            18 days

D.            16 days

E.            27 days

Sol:

A = 2/1 * 8 = 16 days

B = 100/75 * 36 = 48 days

6/16 + (6 + x)/48 = 1

(6 + x)/48 = 5/8

6 + x = 30

x = 24 days