A boat on the ocean is 3 mi from the nearest point on a straight shoreline; that point is 14 mi from a restaurant on the shore. A woman plans to row the boat straight to a point on the short and then walk along the short to the restuarant.

If she walks at 3 mi/hr and rows at 2mi/hr, at which point on the shore should she land to minimize the total travel time?

Let x be the distance between the nearest point on shore and the point she lands on shore. If T is the time it takes her to get to the restaurant, what is the objective function?

Question

A boat on the ocean is 3 mi from the nearest point on a straight shoreline; that point is 14 mi from a restaurant on the shore. A woman plans to row the boat straight to a point on the short and then walk along the short to the restuarant. 

If she walks at 3 mi/hr and rows at 2mi/hr, at which point on the shore should she land to minimize the total travel time?

Let x be the distance between the nearest point on shore and the point she lands on shore. If T is the time it takes her to get to the restaurant, what is the objective function?

anonymous · Answer

I am so stuck

dumbcow · Answer

|dw:1425437711121:dw|

objective function:
$$T = \frac{\sqrt{x^2+9}}{2} + \frac{14 -x}{3}$$