Aldo drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Aldo drove home, there was no traffic and the trip only took 5 hours. If his average rate was 21 miles per hour faster on the trip home, how far away does Aldo live from the mountains? Do not do any rounding.

Respuesta :

8x = 5(x+21)
8x = 5x +105
3x = 105
x = 105 /3
x = 35

8 x 35 = 280 miles away

The distance of Aldo's house from the mountains when calculated using the parameters is; 280 miles

How to Solve Algebra Word Problems?

We know that distance is given by;

Distance = speed * time

Distance with traffic = 8x

Distance without Traffic plus average rate = 5(x + 21)

Thus;

8x = 5(x + 21)

8x = 5x + 105

3x = 105

x = 105/3

x = 35

Thus;

Distance from his house = 5(35 + 21) = 280 miles

Read more about Algebra Word Problems at;https://brainly.com/question/13818690

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