Question

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?

Answer 1

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.

`10hours-4hours=6hours`

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

`x-4Hours=y\\`

If x is equal to 10:

`10hours-4hours=y\\`

`6hours=y\\`

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

Have a nice day!