Pat works in the city and lives in the suburbs with Sal. Every afternoon, Pat gets on a train that arrives at the suburban station at exactly 5 P M . Sal leaves the house before 5 and drives at a constant speed so as to arrive at the train station at exactly 5 P M to pick up Pat. The route that Sal drives never changes. One day, this routine is interrupted, because there is a power failure at work. Pat gets to leave early, and catches a train which arrives at the suburban station at 4PM. Instead of phoning Sal to ask for an earlier pickup, Pat decides to get a little exercise, and begins walking home along the route that Sal drives, knowing that eventual ly Sal will intercept Pat, and then will make a V-tum, and they will head home together in the car. This is indeed what happens, and Pat ends up arriving at home 10 minutes earl ier than on a normal day. Assuming that Pat 's walking speed is constant, that the V-tum takes no time, and that Sal 's driving speed is constant, for how many minutes did Pat walk?

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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Pat works in the city and lives in the suburbs
with Sal. Every afternoon, Pat gets on a train that arrives
at the suburban station at exactly 5 P M . Sal leaves
the house before 5 and drives at a constant speed so as
to arrive at the train station at exactly 5 P M to pick up
Pat. The route that Sal drives never changes.
One day, this routine is interrupted, because there
is a power failure at work. Pat gets to leave early, and
catches a train which arrives at the suburban station
at 4PM. Instead of phoning Sal to ask for an earlier
pickup, Pat decides to get a little exercise, and begins
walking home along the route that Sal drives, knowing
that eventual ly Sal will intercept Pat, and then will
make a V-tum, and they will head home together in
the car. This is indeed what happens, and Pat ends up
arriving at home 10 minutes earl ier than on a normal
day. Assuming that Pat 's walking speed is constant,
that the V-tum takes no time, and that Sal 's driving
speed is constant, for how many minutes did Pat walk?

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