Ravika alone can complete three-fifth of a work in 105 days. Mallika can complete one-third of work in 50 days. In how many days Ravika and Mallika working together, can complete $\frac{26}{35}$ of the work?

60 days

Ravika = \(\frac{3}{5}\)W = 105 days = 175 days,

Malika = \(\frac{1}{3}\)W = 50 days = 150 days,

⇒ \(\frac{26}{35}\) of total work = 780 units,

⇒ Time required by Ravika + Malika to complete 780 units of work = \(\frac{780}{6 + 7}\) = \(\frac{780}{13}\) = 60 days,     ..(\(\frac{Work}{Efficiency}\) = Time)