Answer: C. [tex]3.8:1 [/tex]
Step-by-step explanation:
We know that the torque ratio is the ratio of its output torque to its input torque.
Given : Input torque : [tex]\tau_i=200\text{ pound-feet}[/tex]
Output torque : [tex]\tau_o=760\text{ pound-feet}[/tex]
Then , the torque ratio is given by :-
[tex]\dfrac{{\tau_o}}{{\tau_i}}\\\\\\=\dfrac{760}{200}=\dfrac{3.8}{1}[/tex]
Therefore, the torque ratio = 3.8 :1