# Optimization

• Nov 29th 2009, 10:40 AM
Fred119
Optimization
A swimmer is at a point 500 meters from the closest point on a straight shoreline. She needs to reach a cottage located 1800 meters down shore from the closest point. If she swims at 4 meters per second and she walks at 6 meters per second, how far from the cottage should she come ashore so as to arrive at the cottage in the shortest time?

I have no clue what to use for the primary and secondary equations. Your help would be greatly appreciated.
• Nov 29th 2009, 10:48 AM
skeeter
Quote:

Originally Posted by Fred119
A swimmer is at a point 500 meters from the closest point on a straight shoreline. She needs to reach a cottage located 1800 meters down shore from the closest point. If she swims at 4 meters per second and she walks at 6 meters per second, how far from the cottage should she come ashore so as to arrive at the cottage in the shortest time?

I have no clue what to use for the primary and secondary equations. Your help would be greatly appreciated.

scroll down to problem #9 ...

http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/maxmindirectory/MaxMin.html
• Nov 29th 2009, 10:56 AM
Fred119
Quote:

Originally Posted by skeeter

Thanks a lot, that page is extremely useful and will help me with my other problems too.