## Task 1 - 040931

Two companies A and B took over the production of tractor spare parts. The work was supposed to be completed in 12 days. Two days after the start of the work, which began simultaneously in both companies, extensive repairs were carried out in company A, so that it was out of operation for the continuation of the work.

In how many days can company B complete the order alone if its capacity is $66 \frac{2}{3} \%$ of that of company A?
The daily performances related to the order of the two companies are $a$ and $b$, and the total quantity to be produced is $p$. Then, $12(a+b)=p$.

The remaining five sixths should be accomplished by Company B in $x$ days. Since $a=1.5 b$, it follows that $12 \cdot 1.5 b + 12 b = p$. This means $30 b = p$.

This implies: Company B could have completed the order alone in 30 days. Therefore, the remaining five sixths can be accomplished in 25 days. The required parts will be available 27 days after the start of work in both companies.