frankie can plant a garden by herself in 10 hours. when her son Garyn helps her, the total time it takes them to plant the garden is 4 hours. how long would it take Garyn to plant the garden himself?

Respuesta :

Hello!

The answer is:

Garyn would plant the garden by himself in 6 hours.

Why?

From the statement, we know that Frankie can plant a garden by herself in 10 hours, but with her son's help(Garyn), they are able to do it in 4 hours.

If they are able to do the work in just 4 hours, it means that that they are able to do it in 6 hours less than Frankie working alone.

[tex]10hours-4hours=6hours[/tex]

Then, let be 10 hours, the Frankie's rate "x" and the Garyn's rate "y",  so:

[tex]x-4Hours=y\\[/tex]

If x is equal to 10:

[tex]10hours-4hours=y\\[/tex]

[tex]6hours=y\\[/tex]

So, Garyn would plant the garden by himself in 6 hours.

Have a nice day!