Kala drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Kala drove home, there was no traffic and the trip only took 5 hours. If her average rate was 18 miles per hour faster on the trip home, how far away does Kala live from the mountains?

Question

wwwhhhaaattt? · Answer

@TheSmartOne

anonymous · Answer

Giving out Medals and Fans to whoever helps!!

anonymous · Answer

@satellite73

anonymous · Answer

again it is distance is rate times time 
the the rate going is say $R$ then the rate returning is $R+18$

anonymous · Answer

so one expression for the distance is 
$$D=7R$$ another is $$D=5(R+18)$$

anonymous · Answer

I'm not very good with the distance, rate and time equations

anonymous · Answer

since evidently the distances are the same, you can set them equal and solve 
$$7R=5(R+18)$$

anonymous · Answer

it is really one idea
distance is rate times time
$$D=RT$$ or $$T=\frac{D}{R}$$ or $$R=\frac{D}{T}$$

anonymous · Answer

i am sure you can solve $$7R=5(R+18)$$ right?

anonymous · Answer

Yes. Thank you!