Three points A, B and C are located at the vertices of an equilateral triangle with sides equal to $168 \mathrm{metres}$. A donkey called Dinky starts from A to B at $60 \mathrm{meters}/\mathrm{hour}$ and at the same time a cow called Moo starts from B to Cat 30 metres/hour. In what time after their departure will the distance between the donkey and the cow be the least?

Two towns are at a distance of $240 \mathrm{km}$ from each other. A motorist takes $8 \mathrm{hours}$ to cover the distance if he travels at a speed of ${\mathrm{V}}_{0 }\mathrm{km}/\mathrm{h}$ from town A to an intermediate town C, and then continues on his way with an acceleration of $x \mathrm{km}/{\mathrm{hr}}^2$. He needs the same time to cover the whole distance if he travels from A to Cat ${\mathrm{V}}_0 \mathrm{km}/\mathrm{h}$ and from C to B at ${\mathrm{V}}_1 \mathrm{km}/\mathrm{h}$ or from A to C at ${\mathrm{V}}_0 \mathrm{km}/\mathrm{h}$ and from C to B at ${\mathrm{V}}_0 \mathrm{km}/\mathrm{h}$. Find $V_0$ if the acceleration $\text{'}x\text{'}$ is double $V_0$ in magnitude and $V_0\ne V_1$.

Jaideep travels from Alaska, which is on a highway, to Burgen, which is 16 km from the highway. The distance between Alaska and Burgen along a straight line is $34 \mathrm{km}$. At what point should Jaideep turn from the highway to reach Burgen in the shortest possible time, if his speed along the highway is $10 \mathrm{km}/\mathrm{h}$ and $6 \mathrm{km}/\mathrm{h}$ otherwise.