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SIZIF [17.4K]
3 years ago
15

Maya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Maya drove

home, there was no traffic and the trip only took 8 hours. If her average rate was 20 miles per hour faster on the trip home, how far away does Maya live from the mountains?
Mathematics
1 answer:
Roman55 [17]3 years ago
7 0

Answer:

480 miles.

Step-by-step explanation:

Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.

We have been given that there was heavy traffic on the way there, and the trip took 12 hours.

\text{Distance}=\text{Rate}\times \text{Time}

x=12r

We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.

So Maria's speed while returning back would be r+20.

x=8(r+20)

Upon equating both distances, we will get:

12r=8(r+20)

12r=8r+160

12r-8r=8r-8r+160

4r=160

r=\frac{160}{4}

r=40

Upon substituting r=40 in equation x=12r, we will get:

x=12r\\\\x=12(40)\\\\x=480

Therefore, Maya live 480 miles away from the mountains.

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