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"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?"

Respuesta :

Answer:

Distance between Ryan home and mountain will be 252 miles

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 [tex]distance=speed\times time[/tex]

So [tex]v\times 7=(v+27)\times 4[/tex]

[tex]3v=108[/tex]

v = 36 miles per hour

So distance will be equal to [tex]d=36\times 7=252miles[/tex]

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