Drinking water

A man drinks a keg of water in 40 days, and a woman drinks in 62 days. How many days do they consume a keg together?

Correct result:

x =  24.3137 d

Solution:

$$\begin{gathered} x\cdot (1\mathrm{/}40+1\mathrm{/}62)=1 \\ 51x=1240 \\ x={\displaystyle \frac{1240}{51}}\doteq 24.313725=24.3137\text{ d} \end{gathered}$$

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