Explanation Given: Achilles runs 5 times to the tortoise’s 1 mi/hr . Result used: The sum of the geometric series is ∑ k = 0 ∞ a r k = a 1 − r if | r | < 1 (1) Calculation: Let the tortoise take 1 hour cover the first mile then the Achilles takes 1 5 hour to cover the first mile. If the tortoise reaches the point more than 1 5 mile , then Achilles reach 1 25 hour to reach this new point. Let the tortoise reaches the new point 1 25 of a mile. Then, Achilles takes 1 125 hour reach the same point which the tortoise reached. Add the times up, 1 5 + 1 25 + 1 125 + ⋯ Here, the geometric series 1 5 + 1 25 +

2nd Edition

ISBN: 9781323178522

Author: Briggs

Publisher: PEARSON

See similar textbooks

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

Videos

Question

Chapter 8.3, Problem 76E

To determine

To find: The time if Achilles catch the tortoise.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.3, Problem 75E

Chapter 8.3, Problem 77E

Students have asked these similar questions

Question 2: Three students took a test. The professor comes and tells them that only one has passed the test. "Which is it?" they ask. “I can't tell you that," says the professor. “I can't tell a student their own fate before the results are declared." Student A takes the professor aside. "Look," he says. "Of the three of us, only one has passed. That means that one of my fellow students is still sure to fail. Give me his name. That way you're not telling me my own fate." The guard thinks about this and tells him, “Student B has failed." Student A rejoices that his own chances of passing have improved from 1/3 to 1/2. But how is this possible? The professor has given him no new information. Or has he? What do you think? Has the chances of student A risen from 1/3 to 1/2 and if so, why? Or does it still remain at 1/3 and if so, why? Can you specify what the initial chances were of each student passing/failing, and what their chances are after the professor has shared the results for…

. Neil, a third-grader, asked 10 of his classmates whether they prefer to wear shoes with laces or without laces. Most of the classmates Neil asked prefer to wear shoes without laces. Discuss whether it would be reasonable to assume that most of Neil’s class or most of the students at Neil’s school would also prefer to wear shoes without laces.

A. The employer would suffer because the person tested would be suspected of using drugs when in reality he or she does not use drugs. O B. The person tested would suffer because he or she would not be suspected of using drugs when in reality he or she does use drugs. O C. The person tested would suffer because he or she would be suspected of using drugs when in reality he or she does not use drugs. D. The employer would suffer because the person tested would not be suspected of using drugs when in reality he or she does use drugs. 5. In a genetics experiment on peas, one sample of offspring contained 359 green peas and 341 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of that was expected? The probability of getting a green pea is approximately (Type an integer or decimal rounded to three decimal places as needed.) 3. is this probability reasonably close to -? Choose the correct…

Chapter 8 Solutions

CODE/CALC ET 3-HOLE

Ch. 8.1 - Define sequence and give an example.Ch. 8.1 - Suppose the sequence {an} is defined by the...Ch. 8.1 - Suppose the sequence {an} is defined by the...Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Given the series k=1k, evaluate the first four...Ch. 8.1 - The terms of a sequence of partial sums are...Ch. 8.1 - Consider the infinite series k=11k. Evaluate the...Ch. 8.1 - Explicit formulas Write the first four terms of...Ch. 8.1 - Explicit formulas Write the first four terms of...

Additional Engineering Textbook Solutions

Find more solutions based on key concepts

Fill in each blank so that the resulting statement is true. Any set of ordered pairs is called a/an ____.The se...

Algebra and Trigonometry (6th Edition)

In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 37. f( x )=4 x 3

Precalculus

the name of the point for given ordered pair.

Pre-Algebra Student Edition

A retail establishment accepts either the American Express or the VISA credit card. A total of 24 percent of it...

A First Course in Probability (10th Edition)

Sleepwalking. In Exercises 21–25, refer to the accompanying table, which describes the numbers of adults in gro...

Elementary Statistics (13th Edition)

Whether the ‘Physicians Committee for Responsible Medicine’ has the potential to create a bias in a statistical...

Elementary Statistics

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

The time if Achilles catch the tortoise.

Solution Summary: The author explains how Achilles takes 14of an hour to catch the tortoise.