Answer: Tt will take approximately 19.03 minutes.
Step-by-step explanation:
Formula required: [tex]\dfrac{M_1T_1}{W_1}=\dfrac{M_2T_2}{W_2}[/tex], where [tex]M_1[/tex] = number of men, [tex]T_1[/tex] = time taken,[tex]W_1[/tex] = work in situation 1, and [tex]M_2[/tex] = number of men, [tex]T_2[/tex] = time taken, [tex]W_2[/tex] = work in situation 2.
Given: If 2 pretzel makers can make 444 pretzels in 6 hours.
i.e. [tex]M_1=2,\ W_1=444, T_1=6\ hours[/tex]
To find : [tex]T_2[/tex] for [tex]M_25, W_2=88[/tex]
Substitute all value sin formula , we get
[tex]\dfrac{2\times6}{444}=\dfrac{5\times T_2}{88}\\\\\Rightarrow T_2=\dfrac{8\times88}{444\times5}=0.3171\ hour[/tex]
[tex]=0.3171\times 60= 19.026\text{ minutes}\ \ \ \ [\text{1 hour = 60minutes}][/tex]
hence, it will take approximately 19.03 minutes.
