#### Answer

The person jogged at a faster speed when jogging 500 meters.

#### Work Step by Step

We know that $1 ~yard \approx 0.9~m$. We can convert the distance of 500 yards to units of meters.
$500~yd = \frac{500~yd}{1}\times \frac{0.9~m}{1~yd} = 450~m$
On the first day, a person jogs a distance of 500 meters in a given period of time. The next day, the person jogs a distance of 500 yards in the same given period of time. Since 500 yards = 450 meters, the person jogged at a faster speed when jogging 500 meters.