To find out how much faster Ruth was on Sunday compared to Saturday, we first need to calculate her pace in minutes per mile for both days.
Saturday's Pace:
Ruth ran 3 miles in 34.5 minutes.
To find the pace in minutes per mile, we use the formula:
\[ \text{Pace} = \frac{\text{Total Time}}{\text{Distance}} = \frac{34.5 \text{ minutes}}{3 \text{ miles}} \approx 11.5 \text{ minutes per mile} \]
Sunday's Pace:
Ruth ran 2.5 miles in 28 minutes.
Using the same formula:
\[ \text{Pace} = \frac{28 \text{ minutes}}{2.5 \text{ miles}} = 11.2 \text{ minutes per mile} \]
Calculating the Difference:
Now we can find how much faster her pace was on Sunday compared to Saturday:
\[ \text{Difference} = \text{Saturday's Pace} - \text{Sunday's Pace} = 11.5 \text{ minutes per mile} - 11.2 \text{ minutes per mile} = 0.3 \text{ minutes per mile} \]
Thus, Ruth was 0.3 minutes per mile faster on Sunday than on Saturday.