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16. On Monday it took Mr. Jones 6 hr 48 min to fly his Cessna 172 from Houston to El Paso. His return trip on Tuesday took only 4 hr 24 min since his ground speed was 60 mi/hr faster. Determine his average speed for both trips and the distance between the two airports.

16. On Monday it took Mr. Jones 6 hr 48 min to fly his Cessna 172 from Houston to El Paso. His return trip on Tuesday took only 4 hr 24 min since his ground speed was 60 mi/hr faster. Determine his average speed for both trips and the distance between the two airports.

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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I need help with 16. Algebra 2 third edition isbn: 978-1-64626-475-9

## Solving Systems of Equations: Exercises ### Problems 9. **Two-Digit Number Problem** - Find a two-digit number where the sum of its digits is 15. If the digits are reversed, the resulting number is nine less than the original. Determine the original number. 10. **Digit Manipulation in Numbers** - The tens digit of a two-digit number is six times the units digit. The original number minus the reversed number equals -63. Find the original number. ### B. Exercises **Instructions:** Write and solve a system of equations for each problem. 11. **Investment Gains** - Mr. Johns invested in two businesses. Last year, he earned 10% on the first investment and 12% on the second. If he invested $1000 more in the first business and gained a total of $6040, calculate the investment in each business. 12. **Annual Interest Income** - A man has $43,000 in an IRA mutual fund and $37,000 in a money market account with 5% less return. Calculate the rate of return on each account given the total annual interest income of $4750. 13. **Number Reversal** - The sum of the digits of a two-digit number and the reversed number is 34. If their difference is 36, determine the original number. 14. **Digit Difference** - The tens digit of a two-digit number is five times the units digit. Reversing the digits, the sum with the new number is 132. Identify the original number. 15. **Travel Time Calculation** - Shawna left for Rochester traveling at 43 mi/hr, while her brother Terrance left 2 hours later at 43 mi/hr. He was 56 mi behind her when he started. Find the distance from their home to Rochester and Shawna's travel duration. 16. **Flight Time and Speed** - Mr. Jones flew a Cessna from Houston to El Paso in 6 hrs 48 mins. The return, 60 mi/hr faster, took 4 hrs 24 mins. Calculate the average speed for both trips and the total distance. 17. **Jetliner and Single-Engine Plane** - A jetliner at 640 mi/hr left Chicago flying east; a single-engine plane at 180 mi/hr flew west at the same time. With a westerly wind, when the jetliner
Transcribed Image Text:## Solving Systems of Equations: Exercises ### Problems 9. **Two-Digit Number Problem** - Find a two-digit number where the sum of its digits is 15. If the digits are reversed, the resulting number is nine less than the original. Determine the original number. 10. **Digit Manipulation in Numbers** - The tens digit of a two-digit number is six times the units digit. The original number minus the reversed number equals -63. Find the original number. ### B. Exercises **Instructions:** Write and solve a system of equations for each problem. 11. **Investment Gains** - Mr. Johns invested in two businesses. Last year, he earned 10% on the first investment and 12% on the second. If he invested $1000 more in the first business and gained a total of $6040, calculate the investment in each business. 12. **Annual Interest Income** - A man has $43,000 in an IRA mutual fund and $37,000 in a money market account with 5% less return. Calculate the rate of return on each account given the total annual interest income of $4750. 13. **Number Reversal** - The sum of the digits of a two-digit number and the reversed number is 34. If their difference is 36, determine the original number. 14. **Digit Difference** - The tens digit of a two-digit number is five times the units digit. Reversing the digits, the sum with the new number is 132. Identify the original number. 15. **Travel Time Calculation** - Shawna left for Rochester traveling at 43 mi/hr, while her brother Terrance left 2 hours later at 43 mi/hr. He was 56 mi behind her when he started. Find the distance from their home to Rochester and Shawna's travel duration. 16. **Flight Time and Speed** - Mr. Jones flew a Cessna from Houston to El Paso in 6 hrs 48 mins. The return, 60 mi/hr faster, took 4 hrs 24 mins. Calculate the average speed for both trips and the total distance. 17. **Jetliner and Single-Engine Plane** - A jetliner at 640 mi/hr left Chicago flying east; a single-engine plane at 180 mi/hr flew west at the same time. With a westerly wind, when the jetliner
Expert Solution
Step 1

We know that:60 minutes=1 hourThen, 1minute=160hourThen, 24 minute=2460hourAnd, 12 minute=1260hour

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