Solve it without calculus or quadratic

A person starts walking from point \(A\) with a certain velocity on the highway. Point \(C\) is in the grassland at a distance \(l\) from the highway and he wants to get there as soon as possible. However, his speed is \(Q\) times slower walking on grass than on highway. At what distance \(x\) \((AD>x)\) from point \(D\) should he change his path so that he reaches point \(C\) in minimum time.

Assume \(l=9\text{ m}\), \(Q= 10^{\frac{1}{2}}\).

×

Problem Loading...

Note Loading...

Set Loading...