Nikhil finishes $\frac{1}{3}$ of a data-entry job in 5 days, and Pooja finishes $\frac{2}{5}$ of the same job in 8 days. Working together, how long will they take for the whole job?

Explanation

1. 01

   Nikhil's whole job: $5 \times 3 = 15$ days, rate $\frac{1}{15}$.

2. 02

   Pooja's whole job: $8 \times \frac{5}{2} = 20$ days, rate $\frac{1}{20}$.

3. 03

   Together: $\frac{1}{15} + \frac{1}{20} = \frac{4+3}{60} = \frac{7}{60}$ per day.

4. 04

   Time = $\frac{60}{7} = 8\frac{4}{7}$ days.