Dale drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Dale drove home, there was no traffic and the trip only took 5 hours. If his average rate was 18 miles per hour faster on the trip home, how far away does Dale live from the mountains? Do not do any rounding.

Question

Mathematics

Guest

16 November, 19:09

Dale drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Dale drove home, there was no traffic and the trip only took 5 hours. If his average rate was 18 miles per hour faster on the trip home, how far away does Dale live from the mountains? Do not do any rounding.

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Answers (1)

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Mikayla Curry · Answer 1

Use a system of equations:

For his trip on the way there:

D = 7*s

For his trip on the way home you have:

D = 5 * (s+18)

use substitution to solve