Answer:
Number of days George went for jogging will be t = \(\frac{\frac{19}{2}}{\frac{1}{4} }\) days
Step-by-step explanation:
George jogged total distance = \(9\frac{1}{2}=\frac{19}{2}\) miles
Since George jogged per day = \(\frac{1}{4}\) miles
Let total number days George jogged for = t days
Therefore, total distance jogged by George in t days = \((\frac{1}{4})\times t\) miles
Total distance given as \(\frac{19}{2}\) miles will be equal to the distance traveled in t days.
Equation to determine the value of t will be
\((\frac{1}{4})\times t\) = \(\frac{19}{2}\)
t = \(\frac{\frac{19}{2}}{\frac{1}{4} }\) days
Therefore, number of days George went for jogging will be t = \(\frac{\frac{19}{2}}{\frac{1}{4} }\) days
