Question

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. How many miles did Teresa drive on Tuesday?

Answer 1

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 = $\frac{3}{5}\ of\ 120.$

$=\frac{3}{5} \times 120\\\\=0.6\times 120\\\\=72\ miles.$

Now, her driving distance on Tuesday is:

$\frac{5}{4} \ of\ 72\\\\=\frac{5}{4} \times 72\\\\=1.25\times 72\\\\=90\ miles.$

Therefore, Teresa drive 90 miles on Tuesday.