Question

"Ryan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Ryan drove home, there was no traffic and the trip only took 4 hours. If his average rate was 27 miles per hour faster on the trip home, how far away does Ryan live from the mountains?"

Answer 1

Distance between Ryan home and mountain will be 252 miles

Step-by-step explanation:

Let the distance from home to mountains is d

It is given that it took 7 hours to go mountains from home

Let the speed in going to mountain is v

Then according to question speed in coming from mountain is v+27

And time taken in come from mountain to home is hour

As distance will be same in both case

Distance will be equal to
`distance=speed* time`

So
`v* 7=(v+27)* 4`

`3v=108`

v = 36 miles per hour

So distance will be equal to
`d=36* 7=252miles`