Answer:
George joged 38 days.
Step-by-step explanation:
George jogged a total distance of 9 and 1/2 miles. It means \(d = 9 \frac{1}{2} miles\)
George only jogged 1/4 mile per day. \(v = \frac{1}{4} \frac{mile}{day}\)
We have the total distance (d) and the average daily velocity (v). We can find the time dividing total distance by the velocity. It is shown below.
\(v = \frac{d}{t} \\d = \frac{d}{v} = \frac{9\frac{1}{2} }{\frac{1}{4} } =\frac{\frac{19}{2} }{\frac{1}{4} }\\d = \frac{19 * 4}{2*1} = \frac{19*2}{1} = 38 days.\\\)
Finally, we can conclude that George jogged 38 days.
