A man walks a certain distance at a certain speed. If he walks 1/2 an hour faster than his usual speed, he will take one hour less to reach his destination. But if he walks 1 km an hour slower than his usual speed, he will take 3hours more to reach his destination. Find the total distance covered by him.

What does walk 1/2 an hour faster mean?

run

To understand what it means to walk "1/2 an hour faster," we can break it down. Imagine the man walking at his usual speed. Now, if he were to increase his speed by 1/2 of an hour, it means he would cover the same distance in less time. In other words, by walking 1/2 an hour faster, he would complete his journey sooner than if he walked at his usual speed.