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.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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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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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,