It's just a little fight, not breakup

Calculus Level 4

Once a couple was caught in an unending argument due to some unknown reasons. They got irritated from each other and decided to move away. They started moving with velocities 2+2 m/s\SI[per-mode=symbol]{\sqrt{2+\sqrt{2}}}{\meter\per\second} at the same time from the junction of two roads inclined to 4545^\circ to each other. If they travel by different roads, find the rate at which they are being separated?

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