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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 18 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?

 Feb 25, 2021
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Let the miles she walked on the first day be a, miles walked on the second day be b, and so on.

 

first 2 days, she hiked a total of 22 miles  ==>  a + b = 22

2nd and 3rd days, averaged 18 mi/day  ==>  (b + c)/2 = 36

last two days, hiked total of 30 miles ==> c + d = 30

first and third days ==> a + c = 26

 

We have four equations and four variables, so we can solve. I hope this gets you started.

 Feb 25, 2021

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