2. Gregory, driving a truck and pulling a boat on a trailer, leaves Pines' Meadow campground for the long trip home. With the boat and trailer Gregory travels at 40 miles per hour. a. Gregory's sister, Alyson, leaves the campground an hour later and travels 50 miles per hour, following the same route as Gregory. If these two cars continue in this way, how long will it take Alyson to catch up with Gregory? b. Assuming that Gregory must drive at 40 miles per hour and Alyson starts an hour later as above, how fast must she travel in order to catch up with Gregory at some point down the road? For example, will Alyson catch up with Gregory if she travels 42 miles per hour?

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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2. Gregory, driving a truck and pulling a boat on a trailer, leaves Pines' Meadow
campground for the long trip home. With the boat and trailer Gregory travels at 40
miles per hour.
a. Gregory's sister, Alyson, leaves the campground an hour later and travels 50
miles per hour, following the same route as Gregory. If these two cars continue
in this way, how long will it take Alyson to catch up with Gregory?
b. Assuming that Gregory must drive at 40 miles per hour and Alyson starts an
hour later as above, how fast must she travel in order to catch up with Gregory
at some point down the road? For example, will Alyson catch up with Gregory if
she travels 42 miles per hour?
Transcribed Image Text:2. Gregory, driving a truck and pulling a boat on a trailer, leaves Pines' Meadow campground for the long trip home. With the boat and trailer Gregory travels at 40 miles per hour. a. Gregory's sister, Alyson, leaves the campground an hour later and travels 50 miles per hour, following the same route as Gregory. If these two cars continue in this way, how long will it take Alyson to catch up with Gregory? b. Assuming that Gregory must drive at 40 miles per hour and Alyson starts an hour later as above, how fast must she travel in order to catch up with Gregory at some point down the road? For example, will Alyson catch up with Gregory if she travels 42 miles per hour?
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