Posted by **Kim** on Sunday, June 1, 2008 at 10:10am.

A boat can travel upstream 14 miles in same it can travel downstream 8 miles. the boat is traveling 13 miles per hour. what is the current

- Algebra -
**Damon**, Sunday, June 1, 2008 at 11:26am
You have these reversed, faster downstream

speed upstream = 13 - v

speed downstream = 13 + v

time = distance/rate

14/(13+v)= 8/(13-v)

182 - 14 v = 104 + 8v

22 v = 78

v = 3.55 mph

check

speed downstream = 3.55+13 = 16.54

time downstream = 14/16.54 = .846 hr

speed upstream = 13 - 3.55 = 9.45

9.45 * .846 = 7.99 ok check

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