Question

May and Carl are doing a math project.
Carl can do the work twice as fast as
May. If they work together, they can
finish the project in 4 hours.
1. If Mira can finish the job in x hours alone, how many hours will it take Zack to do the same job alone?
2. How would you represent the amount of work that Mira can finish in 1 hour? How about the amount of work that Zach finish in 1 hour?
3. If they worked together, what equation would represent the amount of work they can finish in 1 hour ?
4. How would you describe the equation formulated in number 3?

please help meeee​

Answer 1

Answer:

Yes! Here is your answer!

Step-by-step explanation:

Let the total work be x or you can take it as 1 since it won't matter

Let the time taken by Mary to finish the work alone be y.

So the rate at which Mary finishes the work alone is x/y . Here we are taking the rate because for both Mary and Carol the rate at which they are doing work will always remain constant.

Now we also know that Carol works twice as fast as Mary so Carol's rate of work is 2*(x/y). Here * means multiplication symbol.

So there total rate of work when working together is 2*(x/y) + ( x/y). This is equal to 3*(x/y). Call this equation 1.

And we know from the question that when they work together, they can finish the work in 4 hours. So the rate at which both of them work together is x/4. Call this equation 2

Ok so now we know that their combined rate of work is 3*(x/y) as from equation 1 and x/4 as from equation 2. Putting them together:-

3*(x/y) = x/4

Here we can cut off x on both sides as both are on the numerator side:-

3/y= 1/4

This means y=12

So Mary will take 12 hours to complete the work and Carol will take 6 hours to complete the work if they work alone.

Answer 2

Step-by-step explanation:

the answer of their first question is

y is 13

$y = 13$