Question

A hyena can run one over four of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in miles per hour?

one-fourth mile over twenty-two point five seconds = 40 miles per hour
twenty-two point five seconds over one-fourth mile = 40 miles per hour
one-fourth mile over twenty-two point five seconds = 90 miles per hour
twenty-two point five seconds over one-fourth mile = 90 miles per hour

Answer 1

@Shadow

Answer 2

How do you think you could go about doing this?

Answer 3

um idk im confused at this one

Answer 4

me no good with fractions

Answer 5

Trust me, it isn't that bad. Miles per hour is what we would call a rate. In this case, this rate is made up of distance over time. They have given us this distance (1/4 of a mile) and time (22.5 seconds).

First off, lets convert our fraction to a decimal.

1/4 = 0.25

\[\frac{ Distance }{ Time } = mph\]

We must notice that out units for time are different than the rate. Therefore we must convert seconds to hours.

There are 60 seconds in a minute and 60 minutes in an hour.
60 x 60 = 3,600

\[22.5 s \times \frac{ 1 hour }{ 3600s } = 0.00625 hour\]

Now that we have the correct units, we can do our distance over time formula.

\[\frac{ 0.25 mile }{ 0.00625 hour } = 40mph\]

Answer 6

oki

Answer 7

They weren't asking you to solve, mostly just recognizing the distance over time formula in play. But you will probably have to solve these in a future lesson so I thought I'd just show you for reference, haha.

Answer 8

Which answer choice do you think it is?

Answer 9

hnmmmm im guessing the second choice????

Answer 10

So that one has " twenty-two point five seconds over one-fourth mile = 40 miles per hour"

That is seconds over miles, or time over distance.

Answer 11

hmmm seconds over miles???????

Answer 12

Focus on the latter statement, time over distance. Is that the formula I used?

Answer 13

yes?

Answer 14

I used distance over time which isn't the same.

Answer 15

oki

Answer 16

so

Answer 17

its not the second option

Answer 18

right?

Answer 19

Correct

Answer 20

oki sooooo it must be the first one then

Answer 21

Well, you shouldn't have to use process of elimination. I pointed out that this problem was just about you recognizing the distance over time formula in play. Miles over seconds, even if not converted to miles over hours, is still distance over time. Just keep that in mind.

Answer 22

so its not the first one either

Answer 23

this is confusing

Answer 24

I don't want to tell you the answer but I never said it wasn't the first one. I have given you more than enough information to determine the answer. I would recommend reading the question, the answer choices, seeing what they are looking for, then reading through my work.

Answer 25

You don't want to blindly guess or learning won't occur.

Answer 26

im confused

Answer 27

About?

Answer 28

everything

Answer 29

im so confused

Answer 30

and im running out of time

Answer 31

please

Answer 32

They are asking which equation would get you the correct miles per hour. The correct equation is distance over time. I solved for the correct miles per hour for you, it is 40mph. I used distance over time in my work. All you have to do is look and see which answer choice used distance over time to get 40mph.

Answer 33

Distance = miles
Time = seconds

Answer 34

im still going for the first one

Answer 35

pls if I don't finish this til 8 I will not commplete

Answer 36

its my last question

Answer 37

I am quite literally giving you the answer. Have you read what I said? haha

Answer 38

I am leaving just enough room for you to incorporate some reasoning.

Answer 39

this is not funny, cant you see I don't understand the answer?can you please explain a little more clearer like telling me a little hint?

Answer 40

im sorry if rude but im confused

Answer 41

I have given you multiple. Read through what I have said

Answer 42

and really stressed out!

Answer 43

Just read through what I have said.

Answer 44

I only see the first choice that is right!

Answer 45

mhm

Answer 46

I have read it a million times and I still go for the first option

Answer 47

Yeah, that is the correct answer.

Answer 48

ya could have told me

Answer 49

I kept saying it over and over

Answer 50

It seemed like you were guessing or using a process of elimination. Regardless, if you incorporated reasoning in your answer, have confidence in it.

Answer 51

If you get it wrong, you learn still.

Answer 52

facepalms* I wasn't guessing

Answer 53

whatever thanks