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