Question

Word Problem: alice can row 5 miles down stream in the same time it takes her to row 2 miles upstream. She rows downstream 4 miles/hr faster than she rows upstream. find alicia's rowing rate each way.

Answer 1

more proof that your math teacher hates you

Answer 2

think the answer is \[9\tfrac{1}{3}\]

Answer 3

rate up stream is R - 4 and rate down stream is R + 4. using
\[T=\frac{D}{R}\] and the fact that the time going 2 miles downstream is the same as time going 5 up stream gives
\[\frac{2}{R+4}=\frac{5}{R-4}\]

Answer 4

solve this for R via
\[2(R-4)=5(R+4)\]
\[3R=28\]

\[R=\frac{28}{3}\]

Answer 5

i guess to actually answer you have to add 4 to
\[9\tfrac{1}{3}\] so get the rate downstream and subtract 4 from
\[9\tfrac{1}{3}\] to get the rate up stream

Answer 6

i get
\[13\tfrac{1}{3} \] going down and
\[5\tfrac{1}{3}\] going up

Answer 7

r*t = d, t = d/r
Let r be the rowing rate upstream
Solve the following equation for r
\[5/(r + 4) = 2/r \]\[\left\{r=\frac{8}{3},4+r=\frac{20}{3},\frac{20}{3}-\frac{8}{3}=4\right\} \]

Answer 8

oh right. just says 4 miles faster, not current is 4 miles.
robtobey is right and i am wrong

Answer 9

sorry