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

Teresa drive 90 miles on Tuesday.

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 =
`(3)/(5)\ of\ 120.`

`=(3)/(5) * 120\\\\=0.6* 120\\\\=72\ miles.`

Now, her driving distance on Tuesday is:

`(5)/(4) \ of\ 72\\\\=(5)/(4) * 72\\\\=1.25* 72\\\\=90\ miles.`

Therefore, Teresa drive 90 miles on Tuesday.