**Distance Conversion and Time Calculation****Problem Statement:**If you swam at a rate of 426.7 centimeters per second, how many hours would it take you to swim 15.1 miles?**Solution Explanation:**To solve this problem, follow these steps:1. **Convert the distance from miles to centimeters:** - There are 160,934 centimeters in a mile. - Therefore, \( 15.1 \) miles is: \( 15.1 \, \text{miles} \times 160,934 \, \text{cm/mile} = 2,430,113.4 \, \text{cm} \).2. **Calculate the total time it will take to swim the distance:** - Given the swimming speed is \( 426.7 \) cm per second, the time in seconds required to swim \( 2,430,113.4 \) cm is: \( \frac{2,430,113.4 \, \text{cm}}{426.7 \, \text{cm/second}} \approx 5697.37 \, \text{seconds} \).3. **Convert the time from seconds to hours:** - There are \( 3600 \) seconds in an hour, so the time in hours is: \( \frac{5697.37 \, \text{seconds}}{3600 \, \text{seconds/hour}} \approx 1.58 \, \text{hours} \).Therefore, it would take approximately \( 1.58 \) hours to swim \( 15.1 \) miles at a rate of \( 426.7 \) centimeters per second.

Time can be calculated using formula: Time = distance / rate or speed

Answered: If you swam at a rate of 426.7…

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If you swam at a rate of 426.7 centimeters per second, how many hours would it take you to swim 15.1 miles?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

**Distance Conversion and Time Calculation**

**Problem Statement:**

If you swam at a rate of 426.7 centimeters per second, how many hours would it take you to swim 15.1 miles?

**Solution Explanation:**

To solve this problem, follow these steps:

1. **Convert the distance from miles to centimeters:**
- There are 160,934 centimeters in a mile.
- Therefore, \( 15.1 \) miles is:
\( 15.1 \, \text{miles} \times 160,934 \, \text{cm/mile} = 2,430,113.4 \, \text{cm} \).

2. **Calculate the total time it will take to swim the distance:**
- Given the swimming speed is \( 426.7 \) cm per second, the time in seconds required to swim \( 2,430,113.4 \) cm is:
\( \frac{2,430,113.4 \, \text{cm}}{426.7 \, \text{cm/second}} \approx 5697.37 \, \text{seconds} \).

3. **Convert the time from seconds to hours:**
- There are \( 3600 \) seconds in an hour, so the time in hours is:
\( \frac{5697.37 \, \text{seconds}}{3600 \, \text{seconds/hour}} \approx 1.58 \, \text{hours} \).

Therefore, it would take approximately \( 1.58 \) hours to swim \( 15.1 \) miles at a rate of \( 426.7 \) centimeters per second.

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