Question

I need help with a distance and time problem

Answer 1

ok
distance = rate*time

Answer 2

yes its a word problem

Answer 3

A trail is 28 miles long. Group F starts at one end walking and Group S starts at the other end walking toward each other. The F group walk one and half miles per hour faster than Group S. They meet in 8 hours. How fast was each group walking?

Answer 4

Is the distance 28 miles?

Answer 5

you have 2 variable, you dont know how far "f" went in 8 hrs and you dont know how fast group "s" was walking
use "distamce = speed*time" to set up 2 equations
solve system of equations

Answer 6

so I can say:
Group F is:
d + 8=28
Group S is:
d-28-x

Answer 7

or is it:
x=y+8
x-y=28

x=Group F
y=Group S

Answer 8

umm no you lost me

Answer 9

what do your variables represent?

in my diagram..."x" is distance group F traveled
"r" is speed group S walked

Answer 10

oh I see

Answer 11

r+1.5=28
x=r-28

Answer 12

not quite

distance = rate * time

look at group F
what represents distance they traveled?
what is rate they are going?
time is given as 8 hrs

Answer 13

Distance for group is unknown
rate is 1.5 miles per hour faster

Answer 14

correct when its unknown you use a variable, thats why i used "x" and "r" in the diagram

Answer 15

so is it:
8+1.5=x

Answer 16

no 8 is the time

Answer 17

is correct to write the equation as:
r+1.5=x

Answer 18

not quite....."r+1.5" means 1 and half mph faster than unknown speed "r"
that is the rate for group F

Answer 19

distance = rate * time

x = (r+1.5) * 8

Answer 20

x=8r+12
x=28-r
d=28-8r+12

Answer 21

"x =8r+12" is good
where did "x=28-r" come from?

Answer 22

I got it from your diagram
try to figure out when to incorporate the 28-x

Answer 23

well we havent done group S yet

what is distance ?
what is rate?
again time = 8

Answer 24

is x=r+1.5

Answer 25

oh

Answer 26

I'm so confused

Answer 27

Let me talk it out

Answer 28

ok you are just over thinking it, everything you need is in diagram and the formula
distance = rate * time

Answer 29

s walked 1.5 miles per hour less

Answer 30

the distance is 28-x
x=8r+12
28-8r+12?

Answer 31

good distance group S walked is "28-x"

Answer 32

d=28-8r+12
d=16-8r

Answer 33

hmm no "d" you dont want to use a 3rd variable

Answer 34

there is a 3rd?

Answer 35

the r+1.5

Answer 36

I have x=8r+12
r+1.5
28-x

Answer 37

ok just focus on plugging into
distance = rate * time
for group S

Answer 38

yes
x = 8r +12 is our equation for group F :)

Answer 39

28-x=(8r+12)8

Answer 40

like duh, I can't believe it

Answer 41

almost...."8r+12" is not right speed

what does "r'represent?

Answer 42

r+1.5
so
28-x=(r+1.5)8

Answer 43

no what does "r" mean ?