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I have been at this for an hour please help


Jason can paint a room in 6 hours. Lorissa can paint a room in only 3 hours.


Which of the following can be used to determine the amount of time it would take for Jason and Lorissa to paint a room together?


1 over 6 plus 1 over 3 equals 1 over x

1 over 6 plus 1 over x equals 1 over 3

1 over x plus 1 over 3 equals 1 over 6

1 over 3 plus 1 over 6 equals x over 9

Verified Answer :

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

\(\frac{1}{6}\)

Work done by Lorissa per hour is given by

\(\frac{1}{3}\)

Work done by both of them is given by

\(\frac{1}{6}+\frac{1}{3}=\frac{1}{x}\\\\\text{where x denotes number of hours they both need to paint a room}\\\\\frac{1+2}{6}=\frac{1}{x}\\\\\frac{3}{6}=\frac{1}{x}\\\\\frac{1}{2}=\frac{1}{x}\\\\x=2\ hours\)

Hence, First Option is correct.


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