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