10 men and 15 women together can complete a work in 3 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
(A) 1 2/7 days
(B) 64 2/7 days
(C) 1 7/7 days
(D) 1 8/7 days
(E) 62 2/5 days Stream of consciousness:
1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/3
15 women's 1 day work = (1/3- 10/100) = 7/30
1 woman's 1 day work = 7/450
1 woman alone can complete the work in 64 2/7 days.
Thus, the answer is (B).