pookiebear
New member
Jane is training for a multisport endurance race. She is in her kayak 2 miles off the shore of the lake. Her beachouse is five miles down the straight coastline. She can paddle 6 miles per hour and run 10 miles per hour. Jane is tired and wants to get home as fast as possible. Develop an expression or equation to model Jane's situation and use it to determine the fastest combination of paddling/running to get home.
Ok that is the problem that I'm having a hard time with. I found the angle between Jane and her house (imagining that the whole situation is a right triangle) and found her angle to be about 68 degrees. Now the ratio between how fast she can run is 6/10 or 3/5. I think I need to use that ratio and find out what 3/5 of 68 degrees is, and have Jane aim for that spot on the coast. In my head this all seems ok, and when I do that I seem to get the fastest time I can think of (about 46 minutes or something like that) but I have no idea what the equation for this would be. Does anyone have a different way to solve this? Or maybe expand on my idea but tell how to get the equation that models what I just described? Thanks so much in advance for the help, really appreciated.
Ok that is the problem that I'm having a hard time with. I found the angle between Jane and her house (imagining that the whole situation is a right triangle) and found her angle to be about 68 degrees. Now the ratio between how fast she can run is 6/10 or 3/5. I think I need to use that ratio and find out what 3/5 of 68 degrees is, and have Jane aim for that spot on the coast. In my head this all seems ok, and when I do that I seem to get the fastest time I can think of (about 46 minutes or something like that) but I have no idea what the equation for this would be. Does anyone have a different way to solve this? Or maybe expand on my idea but tell how to get the equation that models what I just described? Thanks so much in advance for the help, really appreciated.