Answer: (C) [tex]3\dfrac{1}{3}\text{ hours}[/tex]
Step-by-step explanation:
Let t be the time taken by three boys to paint the same fence.
We know that the number of workers and time are inversely proportional.
The equation for inverse proportion is given by :-
[tex]M_1H_=M_2H_2[/tex]
Given: [tex]M_1=2,\ \ \ H_1=5[/tex]
[tex]M_2=3,\ \ \ H_2=t[/tex]
Then, the above equation will become :-
[tex]2\times5=3\times t\\\\\Rightarrow\ t=\dfrac{10}{3}=3\dfrac{1}{3}\text{ hours}[/tex]
Hence, 3 boys will take [tex]3\dfrac{1}{3}\text{ hours}[/tex] to paint the same fence.
