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?\nOptions:\n(A) 1 2/7 days\n(B) 64 2/7 days\n(C) 1 7/7 days\n(D) 1 8/7 days\n(E) 62 2/5 days Let's think first. Stream of consciousness:
User
1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/3\n15 women's 1 day work = (1/3- 10/100) = 7/30\n1 woman's 1 day work = 7/450\n1 woman alone can complete the work in 64 2/7 days.
So, the answer is (B).
Assistant