A sherman is in a rowboat on a lake and 3
km from shore. He wishes to reach a store 2
km down the (straight) shore. He can row at
5 km/h and run at 13 km/h. To what point
down-shore should he row to get to the store
as quickly as possible?

It's supposed to be optimization but I'm wondering if I need to use related rates... :/

Question

A sherman is in a rowboat on a lake and 3
km from shore. He wishes to reach a store 2
km down the (straight) shore. He can row at
5 km/h and run at 13 km/h. To what point
down-shore should he row to get to the store
as quickly as possible?

It's supposed to be optimization but I'm wondering if I need to use related rates... :/

anonymous · Answer

did you draw a picture?

anonymous · Answer

i dont think you need to use related rates for this question

anonymous · Answer

Yup gives me a right angle triangle |dw:1354488913281:dw|