Question

Jose left the airport and traveled toward the
mountains. Kayla left 2.1 hours later
traveling 35 mph faster in an effort to catch
up to him. After 1.2 hours Kayla finally
caught up. Find Jose's average speed.

Answer 1

lol.

Answer 2

i duno dude this stuff doesn't make sense to me

Answer 3

would kaylas rate be x+35 or 35 + x

Answer 4

i thought the total time jose traveled was 3.3

Answer 5

sorry got the names mixed up. Yeah Jose travelled for 2.1 + 1.2 hours which is 3.3 hours.

Answer 6

and we know that Kayla travelled for 1.2 hours

Answer 7

ok i got joses time = 3.3 hours and kaylas time = 1.2 hours and kaylas speed = x+35

Answer 8

so i go d=(x+35)1.2

Answer 9

yup and what does x signify?

Answer 10

we don't need to know the distance...

Answer 11

to find the distance then try to divide the distance by joses time to get his rate but its not the answer on the key

Answer 12

The equation is Distance = Speed * Time

The distance for which Kayla and Jose travel are the same.
However, the speed and time at which they cover this distance is different.

Answer 13

right

Answer 14

Distance(Kayla) = Speed(Kayla) * Time(Kayla)
Distance(Jose) = Speed(Jose) + Time(Jose)

Answer 15

that why i found the distance with kayla first d=(x+35)1.2

Answer 16

then used that distance and divided it by joses time

Answer 17

because i see it as kayla is going faster then jose by 35mph so i go joses speed will be x plus 35 to get kaylas speed time her time 1.2

Answer 18

to get the distance then take that distance and use it for joses time

Answer 19

Distance(Kayla) = Distance(Jose)
we can make it so,
Speed(Kayla) * Time(Kayla) = Speed(Jose) * Time(Jose)

So distance can be ruled out completely. We don't need to calculate distance at all.

Answer 20

to get the distance then take that distance and use it for joses time

Answer 21

but if we calculate distance can't we use it to find joses rate?

Answer 22

to get the distance then take that distance and use it for joses time

Answer 23

so would it be (x+35)1.2 = (x)3.3?

Answer 24

Easier this way :P
You got it... so multiply each side out.

Answer 25

to get the distance then take that distance and use it for joses time

Answer 26

i get 2x + 42 = 3.3x

Answer 27

1.2x + 42 = 3.3x *

Answer 28

to get the distance then take that distance and use it for joses time

Answer 29

right my bad

Answer 30

to get the distance then take that distance and use it for joses time

Answer 31

then i minus the 1.2x from the 3.3x?

Answer 32

so now move the x's to one side ... yeah take 1.2 x from each side

Answer 33

to get the distance then take that distance and use it for joses time

Answer 34

ok i got it now, dude what way are you doing it? ytou seem to be doing it differently then what im being taught

Answer 35

to get the distance then take that distance and use it for joses time

Answer 36

thank u though man

Answer 37

As long as you're getting the right answer it's good. I just equate both sides...
So i would have got the,

3.3x = 1.2x + 42
2.1 x = 42
x = 42/2.1

x is Joses speed.
x = 20
and therefore x+35 is Kaylas speed which = 20 + 35 = 55

Answer 38

Solve the following for Jose, jose's speed:
(jose + 35) *1.2 = jose* 2.1 + jose 1.2
jose = 20 mph