Related Rates - Rowing and Running
- Author:
- J Mulholland
- Topic:
- Calculus
Problem: Maya is 2 km offshore on a boat and wishes to reach a coastal village which is 6 km down the straight shoreline from the point on the shore nearest to the boat. She can row at 2 km/hour and run 5 km/hour. Where should she land her boat to reach the village in the least amount of time?
To get an idea of what this question is asking drag the point P along the shoreline to see how the total time taken to complete the trip changes.