A group of friends went on a three-day hike. During the second day of the hike, the group hiked twice as far as they did on the first day. On the third day, they hiked twelve miles farther than combined distance of the first two days. In all, they hiked 24 miles. How far did they hike on the first day?
Mathematics · High School · Wed Jan 13 2021
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Answered on
Let the distance they hiked on 1st day be x
Then, they distance hiked on day 2 = 2x
On day 3, they hiked twelve miles farther than combined distance of the first two days :
So, x + 2x + 12
3x + 12
Total distance = 24 miles
So, x + 2x + 3x + 12 = 24
6x = 24 - 12
6x = 12
x = 12/6
x = 2 miles
Hence, they hiked 2 miles on 1st day.