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Jose can finish a certain work in 12 hours while Jay can finish the same job in 6 hours.
How long will it take for the work to finish if they worked together?


Sagot :

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.