Person A leaves his home to visit his cousin, person B, who lives 87 miles away. He travels at an average rate of 54 miles per hour. One half-hour later, person B leaves her house to visit person A,← traveling at an average rate of 66 miles per hour. How long after person B leaves will it be before they meet?It will takehour(s) for both people to meet after person B leaves.C

We need to find time at which both meet.

Answered: Person A leaves his home to visit his…

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter3: Math Models

Section3.5: Solve Uniform Motion Applications

Problem 306E: Sarah wants to arrive at her friend’s wedding at3:00. The distance from Sarah’s house to the...

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Sarah wants to arrive at her friend’s wedding at3:00. The distance from Sarah’s house to the weddingis 95 miles. Based on usual traffic patterns, Sarahpredicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour. (a) How long will it take Sarah to drive the first 15 miles? (b) How long will it take Sarah to drive the next 10 miles? (c) How long will it take Sarah to drive the rest of the trip? (d) What time should Sarah leave her house?
Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $15 full-year registration fee and how many had paid the $10 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $250 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?

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