Overnight Hike
(page 91)

Maribeth Dann's prolific class of eighth-graders sent in this solution (March 2005):

Hello Mr. Erickson,

We are the One Eyed, One Horned, Flying Purple People Eaters from Hermann Middle School. We are 8th graders.

We solved another one of your word problems titled, "Overnight Hike." The solution that we came up with was around 5 hours to get to the campsite. 4 hours and 54 minutes to be exact. 1 1/2  mile hike to the lake shore, 10 minutes organizing at the boats, 1 hour and 48  minutes to get across the lake, and then another mile and 1/2 hike to the campsite.

We assumed that it would take them an hour and a half to hike 1 1/2 miles to the lake. We figured that since an experienced rower would only take 6 minutes to cross the lake, an unexperienced rower would take about 12 minutes. Then we found that there would be a total of 9 trips to cross the lake. That would take 1 hour and 48 minutes. Then once they got to the other side of the lake, they would hike another 1 1/2 miles to the campsite, and take the same amount of time, an hour and a half. So they would have a total of 4 hours and 54 minutes but probably closer to 5 hours if they stop for lunch.

Sincerely,
The One Eyed, One Horn, Flying Purple People Eaters

Well! This is the first solution to any of the problems in this family, so the OEOHFPPE get big kudos for that. And hooray! They didn't just give an answer, but broke down the various parts of the journey. Great!

The eepsers here wonder, however, how they figured some of these parts. For example: why does it take nine trips to cross the lake? Does that leave one rowboat on each shore, as required?

Of course, describing everything in detail could take pages and pages, and we don't want that. So how much do you put in your solution to make it as clear as possible how you arrived at it?

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