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  #1  
Old 10-26-2006, 06:08 PM
DiceyPlay DiceyPlay is offline
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Posts: 302
Default Not probability but ...

Here's a simple question from a basic algebra class that is giving me a tough time.

A barge moves 7 km/h in still water. It travels 45 km up river and 45 km down river in a total of 14 hours. What is the speed of the current?

Can you not only solve but describe the set up as well?

Thanks in advance.

-dp
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  #2  
Old 10-26-2006, 06:44 PM
BruceZ BruceZ is offline
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Join Date: Sep 2002
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Default Re: Not probability but ...

[ QUOTE ]
Here's a simple question from a basic algebra class that is giving me a tough time.

A barge moves 7 km/h in still water. It travels 45 km up river and 45 km down river in a total of 14 hours. What is the speed of the current?

Can you not only solve but describe the set up as well?

Thanks in advance.

-dp

[/ QUOTE ]


d = distance, r = rate, t = time

d = r*t

t = d/r

If c is the speed of the current, the boat moves at a rate of 7+c downstream, and 7-c upstream. Use the above equations to write an expression for the upstream time plus the downstream time, and set this to 14 hours. Solve for c. You should get 2 km/hr.
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