If a sprinkler waters 1 over 8 of a lawn in 1 over 4 hour, how much time will it take to water the entire lawn?

A.3/8 hour
B.1/2 hour
C.2 hours
D.4 hours

Question

If a sprinkler waters 1 over 8 of a lawn in 1 over 4 hour, how much time will it take to water the entire lawn?

 A.3/8 hour
 B.1/2 hour
 C.2 hours
 D.4 hours

calculusxy · Answer

$$\large \frac{ \frac{ 1 }{ 8 } }{ \frac{ 1 }{ 4 } } = \frac{ 1 }{ x }$$

Notice how I created a proportion in here. In the first fraction, I have rate that we are implicitly given). With that rate, we can assume and figure out the amount of hours it will take to fill the entire lawn (whichI wrote down with $1$).

calculusxy · Answer

Now you are left to solve for $\large x$.

kathydimieri12 · Answer

1/2

calculusxy · Answer

Let's check:
$$\frac{ 1 }{ 4 } = \frac{ 1 }{ 8 }x \rightarrow \frac{ 1 }{ 4 } \times \frac{ 8 }{ 1 } = \frac{ 8 }{ 4 } = 2$$

calculusxy · Answer

Do you agree?

kathydimieri12 · Answer

ooo so two hours?

calculusxy · Answer

Yes! 

$\large x = 2$

kathydimieri12 · Answer

thank you!

calculusxy · Answer

You're welcome !

kathydimieri12 · Answer

i have one question ? what does it mean when it says "close question  "

calculusxy · Answer

I think it means that there will only be two answers: yes or no.

mrnood · Answer

it means it will no longer appear onth elist of questions requiring help