A person at a point A on one side of a river of width 10 km, is trying to get, as fast as possible to a point B at the opposite side, which is 20 km downstream. For this she has to cross the river to a point P in the opposite side in a motorboat that makes 20 km/h. There, her valet is waiting with a motorcycle that makes 40 km/h, that takes her to point B. Determine, justifying everything, the point P and the amount of time it takes her to get from A to B. (Once you get the exact values, you can approximate them with a calculator, if you want.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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This question is from my final review, can you please elaborate the steps so I can use it to study, Thank you.

A person at a point A on one side of a river of width 10 km, is trying to get,
as fast aspossible to a point B at the opposite side, which is 20 km
downstream. For this she has to cross the river to a point P in the opposite
side in a motorboat that makes 20 km/h. There, her valet is waiting with a
motorcycle that makes 40 km/h, that takes her to point B. Determine,
justifying everything, the point P and the amount of time it takes her to get
from A to B. (Once you get the exact values, you can approximate them
with a calculator, if you want.)
Transcribed Image Text:A person at a point A on one side of a river of width 10 km, is trying to get, as fast aspossible to a point B at the opposite side, which is 20 km downstream. For this she has to cross the river to a point P in the opposite side in a motorboat that makes 20 km/h. There, her valet is waiting with a motorcycle that makes 40 km/h, that takes her to point B. Determine, justifying everything, the point P and the amount of time it takes her to get from A to B. (Once you get the exact values, you can approximate them with a calculator, if you want.)
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