Why the distance increases is because the car switches lanes?

[brittbratt117]

Homework Statement

you're driving behind a car and wish to pass, so you turn to the left and pull into the passing lane without changing speed. why does the distance increase between you and the other car you are following?

Homework Equations

The Attempt at a Solution

so in other words the reason why the distance increases is because the car switches lanes to the left and the speed remains constant...so that makes the cars distances greater because of the time taken up by the switching lanes. that was my thought process and i just wanted to know if i was right...?

 

[Dick]

Sure. You've traveled farther than the car that went straight.

 

[brittbratt117]

thanks easy enough :)