Answer:
Teresa drive 90 miles on Tuesday.
Step-by-step explanation:
Given:
Teresa drove on Monday, Tuesday and Wednesday.
On monday her driving distance was 120 miles.
The ratio of Wednesdays distance is 3/5.
The ratio of Wednesdays distance to Tuesday's distance is 5/4.
Now, to find the miles Teresa drive on Tuesday:
Teresa driving distance on Monday was = 120 miles.
Her driving distance on Wednesday is = [tex]\frac{3}{5}\ of\ 120.[/tex]
[tex]=\frac{3}{5} \times 120\\\\=0.6\times 120\\\\=72\ miles.[/tex]
Now, her driving distance on Tuesday is:
[tex]\frac{5}{4} \ of\ 72\\\\=\frac{5}{4} \times 72\\\\=1.25\times 72\\\\=90\ miles.[/tex]
Therefore, Teresa drive 90 miles on Tuesday.
