Respuesta :
Jason paints the room in 6 hours.
He does 1/6 of the job in 1 hour.
Lorissa can paint the room in 3 hours.
She does 1/3 of the job in 1 hour.
Together they take x hours to do the job.
In 1 hour, they do 1/x of the job.
In 1 hour they work: 1/6 + 1/3 = 1/x
Answer: First Option is correct.
Step-by-step explanation:
Since we have given that
Number of hours Jason can paint a room = 6 hours
Number of hours Lorissa can paint a room =3 hours
Work done by Jason per hour is given by
[tex]\frac{1}{6}[/tex]
Work done by Lorissa per hour is given by
[tex]\frac{1}{3}[/tex]
Work done by both of them is given by
[tex]\frac{1}{6}+\frac{1}{3}=\frac{1}{x}\\\\\text{where x denotes number of hours they both need to paint a room}\\\\\frac{1+2}{6}=\frac{1}{x}\\\\\frac{3}{6}=\frac{1}{x}\\\\\frac{1}{2}=\frac{1}{x}\\\\x=2\ hours[/tex]
Hence, First Option is correct.
