Question

A long distance trucker traveled a 180 miles during a snow storm in one direction. The return trip on a rainy day at double the speed it took 3 hours less. Find the speed going

Answer 1

Did you try to figure out how to solve it?

Answer 2

say the speed going is v. say it too time t to reach the destination while going. express v and t in terms of the distance.

Answer 3

took* time t

Answer 4

nikki, we need you to give us some feedback in order to help you.

Answer 5

yeah, solving your math homework is not the point of Openstudy

Answer 6

I did try...I ended up with 2 different variables and cannot solve.

Answer 7

Write down what you got. We can correct you

Answer 8

I got for the return trip 180=2r(t-3)

Answer 9

r is the speed and t is time

Answer 10

right, what is the going trip formula?

Answer 11

180=r(t+3)

Answer 12

I do not know the time to figure out the speed

Answer 13

If im not mistaken the original should be 180 = r* (t)

Answer 14

ok but how do you figure out the time to get the rate?

Answer 15

why did you write 180 = r(t+3)? Does the trucker take 6 extra hours on the way to the destination?

Answer 16

well simplify the second equation

Answer 17

first define what t is.

Answer 18

because I added three hours to the time of the return trip

Answer 19

t is time

Answer 20

define what t is. what do you mean by t?

Answer 21

t is time taken to do what?

Answer 22

the time for the total distance of 180

Answer 23

time for total distance of 180? what does that mean? how can time be for distance?

Answer 24

Nikki, t represents the time of the going trip

Answer 25

What it the time of the going back trip?

Answer 26

it takes t amount of time to go 180 miles on the going trip, and it takes t-3hours on the return trip. im confused on how to find t because i need t to find r

Answer 27

I think this is a classic mechanic problem. So you can use the velocity formula (V=d/t)

Answer 28

right, so it takes t amount of time, going at speed r to reach 180 miles.

Answer 29

so 180 = t*r

Answer 30

That is what I am using i learned it as d=rt which the same thing with only the distance in a different spot

Answer 31

okay while returning, the speed is 2r, and the time take to travel back the same distance reduces by 3 hours. so
180 = 2r(t-3)

Answer 32

yes i have that. but how do you find the speed from that with another variable

Answer 33

so, lets call 180 = tr ------------------------- equation 1
180 = 2r(t-3) ------------------------- equation 2.
from equation 1 we have t = 180/r, correct?

Answer 34

yes!!! thank you i got it from here!!! much thanks

Answer 35

so substitute t = 180/r in equation 2 and post what you got.

Answer 36

alright, you are welcome.

Answer 37

30=r