Four friends Beth, Samantha, Zarin and Ruby took part in a relay race consisting of two phases. The first phase of the relay race is divided into three equal parts. They aimed to complete their first phase at an average speed of 5 m/s. Beth went first from the starting point and ran at a speed of 6 m/s, followed by Samantha at 7 m/s. a. At what speed did Zarin need to run to maintain their target average speed for the first phase? Answer in exact fraction, or rounded to at least 4 decimal places m/s b. The second phase of the race consisted of sprinting back to the starting point. What was the average speed of their entire race if Ruby completed the second phase with a speed of 10 m/s? Answer in exact fraction, or rounded to at least 4 decimal places. m/s

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
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Four friends Beth, Samantha, Zarin and Ruby took part in a relay race consisting of two phases. The first phase of the relay race is divided into three equal
parts. They aimed to complete their first phase at an average speed of 5 m/s. Beth went first from the starting point and ran at a speed of 6 m/s, followed
by Samantha at 7 m/s.
a. At what speed did Zarin need to run to maintain their target average speed for the first phase?
Answer in exact fraction, or rounded to at least 4 decimal places
m/s
b. The second phase of the race consisted of sprinting back to the starting point. What was the average speed of their entire race if Ruby completed the
second phase with a speed of 10 m/s?
Answer in exact fraction, or rounded to at least 4 decimal places.
m/s
Transcribed Image Text:Four friends Beth, Samantha, Zarin and Ruby took part in a relay race consisting of two phases. The first phase of the relay race is divided into three equal parts. They aimed to complete their first phase at an average speed of 5 m/s. Beth went first from the starting point and ran at a speed of 6 m/s, followed by Samantha at 7 m/s. a. At what speed did Zarin need to run to maintain their target average speed for the first phase? Answer in exact fraction, or rounded to at least 4 decimal places m/s b. The second phase of the race consisted of sprinting back to the starting point. What was the average speed of their entire race if Ruby completed the second phase with a speed of 10 m/s? Answer in exact fraction, or rounded to at least 4 decimal places. m/s
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