anonymous
  • anonymous
A barge moves 6km/h in still water. It travels 51 km upriver and 51 km downriver in a total time of 114 hr. What is the speed of the current?
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
Let x be the speed of the current, and \[t _{1}, t _{2}\] be the times to go up and downriver, respectively
anonymous
  • anonymous
Then \[(6+x)t _{1} + (6-x)t _{2} = 102\] and \[t _{1}+t _{2}=114\]
anonymous
  • anonymous
\[(6+x)t _{1}=51\] \[(6-x)t _{2}=51\] \[t _{1}=114-t _{2}\] Using these three equations and making substitutions I found the speed to be 5.1km/hr

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
I'm actually still not too sure i understand this, but I thank you for your fast response. I'll just look at it a bit longer and hopefully I'll get it.
anonymous
  • anonymous
it seems everyone does this problem a different, but i'll figure it out eventually.

Looking for something else?

Not the answer you are looking for? Search for more explanations.