Question

Phoenix hiked the Rocky Path Trail last week. It took four days to complete the trip. The first two days she hiked a total of 22 miles. The second and third days she averaged 13 miles per day. The last two days she hiked a total of 30 miles. The total hike for the first and third days was 26 miles. How many miles long was the trail?

Answer 1

\[d _{1}+d _{2}=22\]
\[\frac{d _{2}+d _{3}}{2}=13\]
\[d _{3}+d _{4}+30\]
\[d _{1}+d _{3}=26\]

Answer 2

Solve that system.

Answer 3

\[d _{3}+d _{4}=30\]