Answer:
66.7ohms
Step-by-step explanation:
When resistors are set up in a parallel fashion, you can find the total resistance by applying the formula
[tex]\frac{1}{R_t}=\frac{1}{R_1}+\frac{1}{R_2}...+\frac{1}{R_x}[/tex]
Where Rt is the total resistance, and the the Rs are the different resistors present in the circuit. Since the three resistors present are identical, all the Rs will be 200 ohms.
1/Rt = 3(1/R) = 3(1/200)
1/Rt = 3/200
Now since the value is equals to 1/Rt, inverse everything.
Rt = 200/3 = 66.7 ohms