The officers were patrolling along the Seletar Expressway when they spotted a car which was travelling past the speed limit. They signalled the driver to stop, but he continued speeding and tried to elude/evade arrest.
Which word in bold should I use? Or is there a better word?
He was trying to evade arrest by eluding the officers.
Your sentence is a good example to illustrate the difference in the use of the two words.
This is a complicated language, isn't it? Yes, it is.