Question

you ride your bike to campus a distance of 7 miles and return home on the same route going to campus you mostly downhill an average 3 miles per hour faster than on the return trip home if the round trip takes two and a half hours and 45 minutes that is fraction 11 over 4 hours what is your average rate on return trip​

Answer 1

7.6 miles per hour

Explanation:

We know that the distance is 7 miles to campus uphill and 7 miles from campus downhill and you travel 3 miles per hour faster. The trip to campus takes 2.5 hours and from campus it takes 45min.

We can calculate the rate of which you travel to campus:

`=7/2.5=2.8`

From campus to home:

`=(7/0.75)+3=12.33`

The average rate for the return trip is:

`(2.8+12.33)/2=7.6`

7.6 miles per hour