Question

A woman is on a lake in a rowboat located one mile from the closest point P of a straight shoreline (see the figure). She wishes to get to a point Q, 10 miles along the shore from P, by rowing to a point R between P and Q and then walking the rest of the distance. If she can row at a speed of 5 mph and walk at a speed of 6 mph, how should she pick the point R to get to Q as quickly as possible?

Answer 1

Can I see the figure?

Answer 2

Fig ??

Answer 3

okay give me a sec i am not great at math... Lol XD

Answer 4

Lol. okai.

Answer 5

@iambatman

Answer 6

Total time T:
\[
T = \frac{\sqrt{x^2+1}}{5} + \frac{10-x}{6}
\]Minimize T

Answer 7

Already solved it. Thanks though.