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Mathematics 13 Online
OpenStudy (anonymous):

who can help me? huhuhu ;(

Parth (parthkohli):

We all, ask!

OpenStudy (anonymous):

Finding the shortest route. A man in a rowboat 4 kilometers from the nearest point on a straight shore wishes to reach his house 8 kilometers down the shore. If he can row at a rate of 2kph and walk at rate of 4kph, how should he proceed in order to arrive at his house in the shortest possible time? can u solve this one?

OpenStudy (btaylor):

Step 1: Draw a picture.

OpenStudy (btaylor):

|dw:1346853101131:dw|

OpenStudy (anonymous):

ahm .. can u draw it for me ..?

OpenStudy (btaylor):

Let's consider the two most probable routes. 1) The man rows directly to the shore at 2kmph, then walks home at 4 kmph. That takes: 2 hours rowing + 2 hours walking = 4 hours 2) The man rows directly towards the house at 2 kmph, so make a right triangle...it would be a lot more. So, I'd say the first option is much faster, because you are getting the slow part out of the way as quickly as possible.

OpenStudy (anonymous):

ahh . .then?

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