Ruth is training for a half-marathon. On Saturday, she ran 3 miles in 34.5 minutes. On Sunday, she ran 2.5 miles in 28 minutes. How much faster, in minutes per mile, was her pace on Sunday than on Saturday?

Question

Write your answer as a decimal or a whole number.
minutes per mile

Answer 1

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.