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Forum index » Science and Technology » Math
Word problem: Rate x time = distance
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doki_pen
science forum beginner


Joined: 30 Jun 2005
Posts: 14

PostPosted: Wed Jun 28, 2006 4:40 am    Post subject: Word problem: Rate x time = distance Reply with quote

Two cars leave Denver traveling in opposite directions. One car is
traveling at a speed of 80 km/hr and the other car at 96 km/hr. In how
many hours will the cars be 528 km apart?
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UpChunky
science forum beginner


Joined: 03 Jun 2005
Posts: 36

PostPosted: Wed Jun 28, 2006 4:47 am    Post subject: Re: Word problem: Rate x time = distance Reply with quote

"doki_pen" <doki_pen@yahoo.com> wrote in message
news:1151469608.484927.229500@b68g2000cwa.googlegroups.com...
Quote:
Two cars leave Denver traveling in opposite directions. One car is
traveling at a speed of 80 km/hr and the other car at 96 km/hr. In how
many hours will the cars be 528 km apart?


t * 80 + t * 96 = 528 ?

t* (176) = 528 ?

t = 528 * 176 ?

t = 92,928 hours = 10.876 years ?

Better get started.
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guenther.vonKnakspott@gmx
science forum Guru Wannabe


Joined: 24 Apr 2005
Posts: 250

PostPosted: Wed Jun 28, 2006 4:52 am    Post subject: Re: Word problem: Rate x time = distance Reply with quote

doki_pen wrote:
Quote:
Two cars leave Denver traveling in opposite directions. One car is
traveling at a speed of 80 km/hr and the other car at 96 km/hr. In how
many hours will the cars be 528 km apart?
Any of these two hints should help you solve this.

a) What multiples of 6 have 8 as the least significant digit?
b) How far apart from each other are the cars after 1 hour?
Regards.
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guenther.vonKnakspott@gmx
science forum Guru Wannabe


Joined: 24 Apr 2005
Posts: 250

PostPosted: Wed Jun 28, 2006 4:54 am    Post subject: Re: Word problem: Rate x time = distance Reply with quote

Zodness wrote:
Quote:
"doki_pen" <doki_pen@yahoo.com> wrote in message
news:1151469608.484927.229500@b68g2000cwa.googlegroups.com...
Two cars leave Denver traveling in opposite directions. One car is
traveling at a speed of 80 km/hr and the other car at 96 km/hr. In how
many hours will the cars be 528 km apart?


t * 80 + t * 96 = 528 ?

t* (176) = 528 ?

t = 528 * 176 ?

t = 92,928 hours = 10.876 years ?

Better get started.
If you are not going to help him, at least you should not mislead him.
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Richard L. Hall
science forum beginner


Joined: 05 May 2006
Posts: 5

PostPosted: Wed Jun 28, 2006 5:09 am    Post subject: Re: Word problem: Rate x time = distance Reply with quote

The cars are moving apart at a speed of 80 km/hr + 96 km/hr = 176 km/hr. So
after 1 hour, they will be 176 km apart. Now, it should now be easy to
figure out how long it takes for them to be 528 km apart.


--
Richard
http://www.richlh.com
Life is not a journey to the grave with the intention of arriving safely in
a pretty and well preserved body. Rather, it's to skid in broadside,
thoroughly used up, totally worn out, and loudly proclaiming "WOW! What a
Ride!" - Albert 'Skip' Rizzo (1954 - )

"doki_pen" <doki_pen@yahoo.com> wrote in message
news:1151469608.484927.229500@b68g2000cwa.googlegroups.com...
Quote:
Two cars leave Denver traveling in opposite directions. One car is
traveling at a speed of 80 km/hr and the other car at 96 km/hr. In how
many hours will the cars be 528 km apart?
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Mike
science forum addict


Joined: 14 Oct 2005
Posts: 50

PostPosted: Wed Jun 28, 2006 5:56 am    Post subject: Re: Word problem: Rate x time = distance Reply with quote

doki_pen wrote:
Quote:
Two cars leave Denver traveling in opposite directions. One car is
traveling at a speed of 80 km/hr and the other car at 96 km/hr. In how
many hours will the cars be 528 km apart?

First we must figure out relative velocity. If v_1 = 80 and v_2 = 96
then the relative velocity is

v_rel = (v_1 + v_2)/(1 + (v_1v_2)/c^2)

Now you can work out the answer in the proper time of say car 1. For
better accuracy don't forget to take into account the gravitational
time dilation.
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doki_pen
science forum beginner


Joined: 30 Jun 2005
Posts: 14

PostPosted: Wed Jun 28, 2006 6:04 am    Post subject: Re: Word problem: Rate x time = distance Reply with quote

Rich,
That makes perfect sense, thank you so much!

Jon

Richard L. Hall wrote:
Quote:
The cars are moving apart at a speed of 80 km/hr + 96 km/hr = 176 km/hr. So
after 1 hour, they will be 176 km apart. Now, it should now be easy to
figure out how long it takes for them to be 528 km apart.


--
Richard
http://www.richlh.com
Life is not a journey to the grave with the intention of arriving safely in
a pretty and well preserved body. Rather, it's to skid in broadside,
thoroughly used up, totally worn out, and loudly proclaiming "WOW! What a
Ride!" - Albert 'Skip' Rizzo (1954 - )

"doki_pen" <doki_pen@yahoo.com> wrote in message
news:1151469608.484927.229500@b68g2000cwa.googlegroups.com...
Two cars leave Denver traveling in opposite directions. One car is
traveling at a speed of 80 km/hr and the other car at 96 km/hr. In how
many hours will the cars be 528 km apart?
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UpChunky
science forum beginner


Joined: 03 Jun 2005
Posts: 36

PostPosted: Wed Jun 28, 2006 1:04 pm    Post subject: Re: Word problem: Rate x time = distance Reply with quote

"guenther vonKnakspot" <apacur@gmail.com> wrote in message
news:1151470499.584940.284440@m73g2000cwd.googlegroups.com...
Quote:

Zodness wrote:
"doki_pen" <doki_pen@yahoo.com> wrote in message
news:1151469608.484927.229500@b68g2000cwa.googlegroups.com...
Two cars leave Denver traveling in opposite directions. One car is
traveling at a speed of 80 km/hr and the other car at 96 km/hr. In how
many hours will the cars be 528 km apart?


t * 80 + t * 96 = 528 ?

t* (176) = 528 ?

t = 528 * 176 ?

t = 92,928 hours = 10.876 years ?

Better get started.
If you are not going to help him, at least you should not mislead him.

he was helped over the hill, on a simple problem, and should easily spot the
minor intentional problem of division/multiplication.
Actually "opposite directions" is not exactly 180 degrees apart and could be
a good source of error.
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