15 men and 25 women together can complete a work in 5 days. It takes 90 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?
Answer & explanation
Correct answer: option 2
According to question ,
( 15M + 25W ) × 5 = 90M
75M + 125W = 90M
125W = 15M
\(\frac{M}{W}\) = \(\frac{125}{15}\)
\(\frac{M}{W}\) = \(\frac{25}{3}\)
So, Efficiency of Men = 25 and efficiency of Women = 3
Time taken by 1 women to complete the work = \(\frac{Total\; work }{Efficiency}\)
= \(\frac{90 ×25 }{3}\)
= 750