The work

The work was to be done by 150 workers. At the beginning of their work, their number reduced by 40, which increased the time of work by 5 and 1/3 of the schedule. How long did work take?

Correct answer:

t =  20 d

Step-by-step explanation:

$$\begin{gathered} n=150 \\ T=5{\displaystyle \frac{1}{3}}=5+{\displaystyle \frac{1}{3}}={\displaystyle \frac{5\cdot 3+1}{3}}={\displaystyle \frac{16}{3}}\doteq 5.3333 \\ n(t-T)=(n-40)\cdot t \\ 150(t-5.33333333333)=(150-40)\cdot t \\ 150\cdot (t-5.33333333333)=(150-40)\cdot t \\ 40t=800 \\ t=20=20\text{ d} \end{gathered}$$

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