Answer: [tex]5\frac{1}{4}\ hours[/tex]
Step-by-step explanation:
Given: Tanya drove car in [tex]\frac{1}{3}[/tex] tank of gas= [tex]3\frac{1}{2}[/tex] hours [tex]=\frac{7}{2}[/tex] hours
Tanya drove car in a full tank of gas = [tex]\frac{\frac{7}{2}}{\frac{1}{3}}=\frac{7}{2}\times3=\frac{21}{2}[/tex] hours
Tanya drove car in [tex]\frac{1}{2}[/tex] tank of gas=[tex]\frac{21}{2}\times\frac{1}{2}=\frac{21}{4}=5\frac{1}{4}\ hours[/tex]
Hence, Tanya drove [tex]5\frac{1}{4}\ hours[/tex]car in [tex]\frac{1}{2}[/tex] tank of gas.
