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Q: A father walks 36 miles in 12 hours. While his son covers the same distance on a bicycle at twice the father's rate of speed. At this rate how many miles would the bicycle rider travel in 9 hours?

Q: A father walks 36 miles in 12 hours. While his son covers the same distance on a bicycle at twice the father's rate of speed. At this rate how many miles would the bicycle rider travel in 9 hours?

Algebra and Trigonometry (6th Edition)
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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**Question:** A father walks 36 miles in 12 hours. While his son covers the same distance on a bicycle at twice the father’s rate of speed. At this rate, how many miles would the bicycle rider travel in 9 hours? **Solution Steps:** 1. **Determine the father’s walking speed:** - Distance = 36 miles - Time = 12 hours - Speed = Distance/Time = 36 miles / 12 hours = 3 miles per hour 2. **Calculate the son’s bicycle speed:** - Son’s speed = 2 * Father’s speed - Son’s speed = 2 * 3 miles per hour = 6 miles per hour 3. **Calculate the distance the son would travel in 9 hours:** - Distance = Speed * Time - Distance = 6 miles per hour * 9 hours = 54 miles **Answer:** The bicycle rider would travel 54 miles in 9 hours.
Transcribed Image Text:**Question:** A father walks 36 miles in 12 hours. While his son covers the same distance on a bicycle at twice the father’s rate of speed. At this rate, how many miles would the bicycle rider travel in 9 hours? **Solution Steps:** 1. **Determine the father’s walking speed:** - Distance = 36 miles - Time = 12 hours - Speed = Distance/Time = 36 miles / 12 hours = 3 miles per hour 2. **Calculate the son’s bicycle speed:** - Son’s speed = 2 * Father’s speed - Son’s speed = 2 * 3 miles per hour = 6 miles per hour 3. **Calculate the distance the son would travel in 9 hours:** - Distance = Speed * Time - Distance = 6 miles per hour * 9 hours = 54 miles **Answer:** The bicycle rider would travel 54 miles in 9 hours.
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