Answer:
[tex]4\frac{1}{8}\text{ miles}[/tex]
Step-by-step explanation:
Given,
The distance she walked on Monday = [tex]2\frac{3}{4}[/tex]
Let x be the distance she walked on Tuesday,
∵ she walks [tex]1\frac{1}{2}[/tex] times farther on Tuesday,
[tex]\implies x = 1\frac{1}{2}\text{ times of the distance she walked on Monday}[/tex]
[tex]=\frac{3}{2}\times \frac{11}{4}[/tex]
[tex]=\frac{33}{8}[/tex]
[tex]=4\frac{1}{8}[/tex]
Hence, she walked [tex]4\frac{1}{8}[/tex] miles on Tuesday.