Answer: 22 minutes
Step-by-step explanation:
Since, if [tex]x_1[/tex] people take [tex]n_1[/tex] days for doing [tex]w_1[/tex] work while [tex]x_2[/tex] people take [tex]n_2[/tex] days for doing [tex]w_2[/tex] work,
Then,
[tex]\frac{x_1\times n_1}{w_1}=\frac{x_2\times n_2}{w_2}[/tex]
Here, [tex]x_1 = 10[/tex], [tex]n_1=22\text{ minutes}[/tex], [tex]w_1=10[/tex] [tex]x_2=14[/tex] and [tex]w_2=14[/tex],
By substituting these values in the above equation,
We get,
[tex]\frac{10\times 22}{10}=\frac{14n_2}{14}[/tex]
[tex]\implies \frac{2200}{10}=n_2[/tex]
[tex]\implies 22=n_2[/tex]
Hence, the time taken by 14 workers making 14 walls is 22 minutes.
