${\displaystyle c_{1}=4{\frac {m}{s}}}$ and ${\displaystyle c_{2}=1{\frac {m}{s}}}$
${\displaystyle t={\frac {\sqrt {x^{2}+50^{2}}}{4}}+{\frac {\sqrt {(100-x)^{2}+50^{2}}}{1}}}$, t in seconds, x in metres