Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y m

Question

nikitadnepr

2 months ago

13

Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y m

inutes, what portion of the leaves do they rake in one minute if they work together?

Mathematics

1 answer:

lawyer [12.5K] · Answer 1 · 2026-03-20T14:17:47+03:00

Answer:

together they rake $\frac{y+x}{xy}$ leaves in one minute.

Step-by-step explanation:

If Maya takes x minutes to rake, then in one minute, she rakes $\frac{1}{x}$ leaves.

For Carla, if her raking takes y minutes, in one minute she rakes $\frac{1}{y}$ leaves.

Thus, to find the amount they work together in one minute, we add both of their contributions for that minute, resulting in: $\frac{1}{x}+ \frac{1}{y}$

Finally, simplifying this expression gives:

$\frac{1}{x}+ \frac{1}{y} =\frac{y+x}{xy}$

As a result, they collectively rake $\frac{y+x}{xy}$ leaves in a minute.