orangecrush
New member
- Joined
- Sep 11, 2006
- Messages
- 14
Here's the question. It's a theoretical one, i'm supposed to prove it exists, but will not find an actual number.
Two fishermen are ice fishing in the middle of the lake. One leaves at 6:00pm and walks back to camp along a scenic route, taking two and a half hours to get back. The second one leaves at 7:00pm, walks on a direct route back to camp and takes an hour to get there. Show that there was a time where they were equidistant from camp.
What I've got so far is that there are two distant graphs, fisherman one and fisherman two. I have to somehow combine the two graphs to make one function. Using the intermediate value theorem, then one value should be positive and one negative in order to have a value of zero somewhere on the one graph. Subtracting one graph from another and getting a value of zero means that somewhere on the graph, the two are equal. But I don't know how to prove that with no values....how do I show that there was a time where they were equidistant from camp??
Two fishermen are ice fishing in the middle of the lake. One leaves at 6:00pm and walks back to camp along a scenic route, taking two and a half hours to get back. The second one leaves at 7:00pm, walks on a direct route back to camp and takes an hour to get there. Show that there was a time where they were equidistant from camp.
What I've got so far is that there are two distant graphs, fisherman one and fisherman two. I have to somehow combine the two graphs to make one function. Using the intermediate value theorem, then one value should be positive and one negative in order to have a value of zero somewhere on the one graph. Subtracting one graph from another and getting a value of zero means that somewhere on the graph, the two are equal. But I don't know how to prove that with no values....how do I show that there was a time where they were equidistant from camp??
