## 12. Beautiful Lace

Two lacemakers need to weave a piece of lace. The first one would weave it alone in 8 days, and the second one in 13 days. How much time will they need for this work if they work together?
12. The first lacemaker completes one eighth of the entire work in one day, while the second completes one thirteenth. Together, they will need a little less than 5 days:

$$
1:(1 / 8+1 / 13) \approx 4.95 \text { days. }
$$