Henry Ernest Dudeney/Puzzles and Curious Problems/209 - A Running Puzzle

by : $209$

 * A Running Puzzle
 * $ABCD$ is a square field of $40$ acres.
 * The line $BE$ is a straight path, and $E$ is $110$ yards from $D$.
 * In a race Adams runs direct from $A$ to $D$,
 * but Brown has to start from $B$, go from $B$ to $E$, and thence to $D$.
 * Each keeps to a uniform speed throughout, and when Brown reaches $E$, Adams is $30$ yards ahead of him.


 * Dudeney-Puzzles-and-Curious-Problems-209.png


 * Who wins the race, and by how much?