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?

750

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