njorda7211
11.07.2019 •
Mathematics
Use two equations in two variables to solve the problem. an airplane can fly with the wind a distance of 800 miles in 8 hours. however, the return trip against the wind takes 10 hours. find the speed of the plane in still air and the speed of the wind.
Solved
Show answers
More tips
- L Leisure and Entertainment 10 Ways to Celebrate Your Favorite Holidays: A Guide to Festivities and Traditions...
- S Sport When will the Biathlon World Championships 2011 take place in Khanty-Mansiysk? Answers to frequently asked questions...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
Answers on questions: Mathematics
- M Mathematics These point are for Anna...
- M Mathematics A services man deposited his saving of 3.00 in bank And 3 years if he received an amount of Rs 6,477 from the bank, find the rate ainterest...
- M Mathematics The unit digit of cube 149 is...
- M Mathematics The table and the graph each show a different relationship between the same two variables, x and y: A table with two columns and 5 rows is shown. The column head for...
- M Mathematics What is the range of the absolute value function please...
- M Mathematics Which figure has an orthocenter outside the triangle? A triangle has angle measures of 30, 75, and 75 degrees. A triangle has angle measures of 54, 56, and 74 degrees....
- M Mathematics What is the location of Point Q if it is 2/5 the distance from A: -16 to B: -6? Help !!!...
- M Mathematics 4x + y = 8 2x – 3y = 18 Matrix Equation Solution...
- M Mathematics These point are for Anna pls another dude do not answer pls...
- M Mathematics Goods purchased for cash=35000 TD=15% CD=5%...
Ответ:
p = plane's speed in calm air
w = wind's speed
p + w = speed across the ground of the plane flying with the wind
p - w = speed across the ground of the plane flying against the wind
NOTE : distance = speed × time
distance = 800 miles
800 = 8(p+w) :: given that it takes 8 hrs with the wind to travel 800 miles
800 = 10(p-w) :: given that it takes 10 hrs against the wind to travel 800 miles
so we have
8(p+w) = 800
10(p-w) = 800
.
8p + 8w = 800 ( 1 )
10p - 10w = 800 ( 2 )
Multiplying the first equation with 10 and the second with 8
80p + 80w = 8000
80p - 80w = 6400
.
160p = 14400
p = 14400 / 160
p = 90 ( this is the plane's speed )
Substitute this into any equation
( 80 ) ( 90 ) + 80w = 8000
7200 + 80w = 8000
80w = 800
w = 10
Wind speed = 10 miles per hours
plane speed = 90 miles per hour
Hope my answer helps!
Ответ:
Not being mean but no because I don’t know what you look like
Step-by-step explanation: