A cyclist takes half the cyclist's average speed for the second hour, and the cyclist's average speed for the first two hours is equal to twice the cyclist's average speed for the last two hours. If the cyclist traveled at an average speed of miles per hour for the 4-hour trip, what was the cyclist's average speed, in miles per hour, during the first pur of the trip? hours to travel from Town A to Town B. The cyclist's average speed for the first hour is O 16 4090 0 000

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 12E
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A cyclist takes 4 hours to travel from Town A to Town B. The cyclist's average speed for the first hour is
half the cyclist's average speed for the second hour, and the cyclist's average speed for the first two hours is
equal to twice the cyclist's average speed for the last two hours. If the cyclist traveled at an average speed of
9 miles per hour for the 4-hour trip, what was the cyclist's average speed, in miles per hour, during the first
hour of the trip?
16
0000
Transcribed Image Text:A cyclist takes 4 hours to travel from Town A to Town B. The cyclist's average speed for the first hour is half the cyclist's average speed for the second hour, and the cyclist's average speed for the first two hours is equal to twice the cyclist's average speed for the last two hours. If the cyclist traveled at an average speed of 9 miles per hour for the 4-hour trip, what was the cyclist's average speed, in miles per hour, during the first hour of the trip? 16 0000
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