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.)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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