Answer to Question #322469 in Linear Algebra for Kenth Smith

Question #322469

A man rows 12 miles downstream on a river in 2 hrs. He requires another 3 hrs. to row back to his starting position. Find the speed of the current and the rate the man can row in still water.


1
Expert's answer
2022-04-05T01:44:47-0400

vrate  of  manuspeed  of  the  current{2(v+u)=123(vu)=12{v+u=6vu=4{v=5u=1v-rate\,\,of\,\,man\\u-speed\,\,of\,\,the\,\,current\\\left\{ \begin{array}{c} 2\left( v+u \right) =12\\ 3\left( v-u \right) =12\\\end{array} \right. \Rightarrow \left\{ \begin{array}{c} v+u=6\\ v-u=4\\\end{array} \right. \Rightarrow \left\{ \begin{array}{c} v=5\\ u=1\\\end{array} \right.


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