The jogging path at the park is 2.7 miles long. Miriam completed one lap of the path, walking part and jogging part. She hogs half the distance she walks.

Miriam walks for 1.8 miles and jogs for 0.9 miles.

Step-by-step explanation:

The path for jogging is 2.7 miles.

One lap of the path, that is 2.7 miles, is completed by Miriam by jogging part and walking part.

Let the jogging part be x miles.

It is given she jogs half the distance she walks, therefore we can say that she walks for 2x miles.

So we can say that 2x + x = 2.7 miles ⇒ 3x = 2.7 miles

⇒ x = 0.9 miles.

Therefore Miriam walks for 1.8 miles and jogs for 0.9 miles.