Answer:
4
Step-by-step explanation:
To determine how long it will take for Jose and Jay to complete the work together, we can use the concept of work rates.
- Jose's work rate: \( \frac{1}{12} \) of the job per hour.
- Jay's work rate: \( \frac{1}{6} \) of the job per hour.
When working together, their combined work rate is the sum of their individual work rates:
\[ \frac{1}{12} + \frac{1}{6} \]
First, find a common denominator and add the fractions:
\[ \frac{1}{12} + \frac{1}{6} = \frac{1}{12} + \frac{2}{12} = \frac{3}{12} = \frac{1}{4} \]
Their combined work rate is \( \frac{1}{4} \) of the job per hour. Therefore, it will take them:
\[ \frac{1}{\frac{1}{4}} = 4 \]
So, it will take Jose and Jay 4 hours to finish the work if they work together.
