Question

Maura is jogging on her treadmill. She runs 2.25 miles in
1
2
of an hour. At that speed, how many miles could Maura run in 1
1
2
hours?
Write your answer as a whole number, decimal, fraction, or mixed number. Simplify any fractions.

Answer 1

To find out how many miles Maura could run in 1.5 hours at her current speed, we first need to determine her speed in miles per hour.

Maura runs 2.25 miles in 0.5 hours. We can calculate her speed (in miles per hour) as follows:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{2.25 \text{ miles}}{0.5 \text{ hours}} = 2.25 \div 0.5
\]

Dividing by 0.5 is the same as multiplying by 2:

\[
2.25 \div 0.5 = 2.25 \times 2 = 4.5 \text{ miles per hour}
\]

Now we want to know how far she can run in 1.5 hours. We multiply her speed by the time:

\[
\text{Distance} = \text{Speed} \times \text{Time} = 4.5 \text{ miles per hour} \times 1.5 \text{ hours}
\]

Calculating that gives:

\[
4.5 \times 1.5 = 6.75 \text{ miles}
\]

So, Maura could run **6.75 miles** in 1.5 hours.