Question

mark can walk to the top of a mountain and return in a total time of 12 hours and walked a total of 32 miles. His speed downhill is 2mph faster than his uphill. what is his speed downhill?

Answer 1

how far did you get? any equations?

Answer 2

i posted two questions are you asking about my first question

Answer 3

asking about this one

Answer 4

this is my first time on this sight so please be patient with me I think your asking about my second post?

Answer 5

are you still there?

Answer 6

Here are some of the equations:
total time of 12 hours means
Tu+Td= 12 (Tu time up, Td time down)
Du= Dd = 32/2 (same distance up and down)
speed downhill is 2mph faster than his uphill mean Vd= Vu-2 or
Vu= Vd -2 (speed up is slower than down. makes sense)

Answer 7

* Vd= Vu-2 ==> Vd= Vu+2 (Vd is faster)

Answer 8

can you make any sense of this?

Answer 9

ok i will set up my equation and try to solve;i'm not to good with word problems. thanks

Answer 10

no, i'm totally lost

Answer 11

but i will try

Answer 12

what is his speed downhill?
we want to find Vd

in time distance speed problems immediately thing speed*time= distance

Answer 13

*think

Answer 14

you should try to find 2 equations. One for uphill and one for downhill

Answer 15

ok

Answer 16

if you think you have them, post them

Answer 17

ok

Answer 18

how about:
Vd*Td= 16 (speed * time = distance)
and
Vu * Tu = 16

Answer 19

did you get 16 by dividing 32 by 2

Answer 20

the equation i set up was 12+2x=32 , is this wrong

Answer 21

to the top of a mountain and return. The distance up must be the same as the distance down. total is 32 miles, so 16 up and 16 down.

as for 12+2x=32, no, this is not how to think of the problem. Stick with speed * time= distance
(and label what your variables stand for)

Answer 22

ok i will re- work it

Answer 23

You start with this pair
Vd * Td= 16
Vu * Tu = 16

we want Vd (speed going down), so we want to get rid of Vu and Tu in the second equation
Do you know how to do that, using these equations:
Tu+Td= 12 or Tu= 12-Td
Vu= Vd -2

Answer 24

yes

Answer 25

what do you get?

Answer 26

i'm sorry, i'm totally lost and now i'm frustrated

Answer 27

i will try later thanks

Answer 28

start with
Vu * Tu = 16

we also know Vu= Vd -2 and Tu= 12-Td
so replace Vu in the equation with its equal (Vd-2). same for Tu. Can you do that?

Answer 29

thanks, for your help, i'm taking a break i will go over the tips you gave me and try again in a few