Leeson can proofread a newspaper copy in 4 hours. If Ryan proofreads the same newspaper copy, it takes 3 hours. How
long would it take if they worked together?

Respuesta :

Answer:

1 hour

Step-by-step explanation:

It would take that long because they work together, at 4 hours Ryan's 3 are subtracted and the result would be 1 hour. This is because while one of us makes the errors in the first or second paragraph, the other is checking the next and thus they finish faster.

If they worked together they can finish the given task in [tex]\frac{7}{12}[/tex] hours.

Given that, Leeson can proofread a newspaper copy in 4 hours. If Ryan proofreads the same newspaper copy, it takes 3 hours.

We need to find how long would it take if they worked together.

What is the formula to find the work done?

Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. Time Taken = 1 / Rate of Work. If a piece of work is done in x number of days, then the work done in one day = 1/x.

Now, the work done by Leeson [tex]=\frac{1}{4}[/tex] and the work done by Ryan [tex]=\frac{1}{3}[/tex]

So, work done by both together [tex]=\frac{1}{4}+\frac{1}{3}=\frac{3+4}{12}=\frac{7}{12}[/tex] hours.

Therefore, if they worked together they can finish the given task in [tex]\frac{7}{12}[/tex] hours.

To learn more about work and time questions visit:

https://brainly.com/question/9050411.

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