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ing 4 mi/hr faster than 6. Two speedboats leave the dock at the same time and travel in opposite directions. One travels 9 mi/hr faster than the other. After 2 hr the boats are 170 mi apart. How fast is each boat traveling? 7 Britton

ing 4 mi/hr faster than 6. Two speedboats leave the dock at the same time and travel in opposite directions. One travels 9 mi/hr faster than the other. After 2 hr the boats are 170 mi apart. How fast is each boat traveling? 7 Britton

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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Algebra 2 third edition ISBN: 978-1-64626-475-9 

I need help with number 6 please. 

### A. Exercises **Write and solve a system of equations for each problem.** 1. Find two numbers whose sum is 91 and whose difference is 17. 2. The sum of twice a number and a second number is 61. The second number is three times the first: What are the two numbers? 3. Jon invested $10,000 between two different stocks. One stock yielded an 8% return and the other yielded a 5% return. How much is invested in each stock if his total return is $680? 4. Georgina has a total of $5000 invested in a savings account that receives 2% APY and a certificate of deposit (CD) that receives 0.9% APY. How much does she have invested in each account if the interest earned is $37.50? 5. Two cars, 360 mi apart, start driving toward each other at the same time. If one car is traveling 4 mi/hr faster than the other, how fast is each car traveling? 6. Two speedboats leave the dock at the same time and travel in opposite directions. One travels 9 mi/hr faster than the other. After 2 hr the boats are 170 mi apart. How fast is each boat traveling? 7. Brittany and Hanna can paddle 12 mi upstream in the same time it takes to paddle 28 mi downstream. Determine their paddling rate in still water if the stream flows at 2 mi/hr. 8. A jetliner can travel 1700 mi from Fargo, ND, to Phoenix, AZ, in 4 hr with a tailwind; but it takes 3 hr to travel 975 mi from Phoenix to Boise, ID, into the same wind. Determine both the wind speed and the airspeed of the plane.
Transcribed Image Text:### A. Exercises **Write and solve a system of equations for each problem.** 1. Find two numbers whose sum is 91 and whose difference is 17. 2. The sum of twice a number and a second number is 61. The second number is three times the first: What are the two numbers? 3. Jon invested $10,000 between two different stocks. One stock yielded an 8% return and the other yielded a 5% return. How much is invested in each stock if his total return is $680? 4. Georgina has a total of $5000 invested in a savings account that receives 2% APY and a certificate of deposit (CD) that receives 0.9% APY. How much does she have invested in each account if the interest earned is $37.50? 5. Two cars, 360 mi apart, start driving toward each other at the same time. If one car is traveling 4 mi/hr faster than the other, how fast is each car traveling? 6. Two speedboats leave the dock at the same time and travel in opposite directions. One travels 9 mi/hr faster than the other. After 2 hr the boats are 170 mi apart. How fast is each boat traveling? 7. Brittany and Hanna can paddle 12 mi upstream in the same time it takes to paddle 28 mi downstream. Determine their paddling rate in still water if the stream flows at 2 mi/hr. 8. A jetliner can travel 1700 mi from Fargo, ND, to Phoenix, AZ, in 4 hr with a tailwind; but it takes 3 hr to travel 975 mi from Phoenix to Boise, ID, into the same wind. Determine both the wind speed and the airspeed of the plane.
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