Question

You run 9 3/5 miles as part of an exercise routine. You run 1/4 of that distance on a hill. You run down a slope for the last 3/8 of the hill. On how many miles of your run do you run down the slope.

Answer 1

Distance run down the slope
`(9)/(10)miles`

Explanation:

We have given that total distance which is part of exercise routine
`9(3)/(5)miles=(48)/(5)miles`

It is given that
`(1)/(4)` of the distance is run on the hill

So distance run on the hill
`(1)/(4)* (48)/(5)=(12)/(5)miles`

Now it is given that he run down a slope for
`(3)/(8)` of the hill

So distance run down the slope =
`(3)/(8)* (12)/(5)=(9)/(10)miles`