anonymous
  • anonymous
okay, so the current in a river is 2 miles per hour. A small boat can travel 32 miles upstream and then 24 miles downstream in a total time of 6 hours. find the speed of the boat in still water.
Mathematics
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anonymous
  • anonymous
okay, so the current in a river is 2 miles per hour. A small boat can travel 32 miles upstream and then 24 miles downstream in a total time of 6 hours. find the speed of the boat in still water.
Mathematics
chestercat
  • chestercat
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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.

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anonymous
  • anonymous
upstream velocity = velocity of boat(unknown)-velocity of stream down stream = velocity of boat + velocity of stream time = distance/ speed form quadratic eqn and solve
anonymous
  • anonymous
time = distance/rate Solve the following for r, the rate (speed in still water)\[\frac{32}{r-2}+\frac{32}{r+2}= 6\]
anonymous
  • anonymous
\[r = \frac{2}{3} \left(8+\sqrt{73}\right) =11.03 \text { mph} \]

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anonymous
  • anonymous
Thank you for the medal. By the way, it was a surprise that, if this was a school problem, x had a radical in it's expression.

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