Question
Asked Nov 11, 2019
2 views

A plane can fly 220 mph in calm air. Flying with the wind, the plane can fly 960 mi in the same amount of time it takes to fly 800 mi against the wind. Find the rate of the wind.
mph

check_circle

Expert Answer

Step 1

Given:

help_outline

Image Transcriptionclose

Plane speed P 220 mph Wind speed be W mph

fullscreen
Step 2

Calculation:

help_outline

Image Transcriptionclose

The plane is flying with the wind, the speed of plane is P+W. Also given that the plane travels 960 mi in time t 960 ...1) Thus, P W t And, plane is flying opposite to the wind = P - W 800 .(2) Thus, P-W

fullscreen
Step 3
help_outline

Image Transcriptionclose

Equation (2), can be written as, 220-W 1 --(3) t 800 Substitute equation (3) in equation (1), we get 220-W 220 W 960 800 960 (220-W 800 220+W (220-W) 5 220+W

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other

Related Algebra Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: The area of a triangle is 36 square feet. The height of the triangle is 1 foot shorter than its base...

A: From given, the height of the triangle is 1 foot shorter than its base, h=b-1.

question_answer

Q: Give a rule of the form ​f(x)=a^x to define the exponential function whose graph contains the given ...

A: Given, function and points are

question_answer

Q: Two numbers when multiplied equals 36.  If one number is x and the other number is greater than x b...

A: (a) Hey, since there are multiple questions posted, we will answer first question. If you want any s...

question_answer

Q: A ALEKS Sherri Dumler Learn X + X McGraw-Hill Education Camp X t https://www-awn.aleks.com/alekscgi/...

A: To find the conditions under which the costs of the plans are equal

question_answer

Q: 48> -6x

A: The inequality is

question_answer

Q: MAT150 Unit 3 Review **no need to show f(g(x)) = g(f(x)) = x Find f(x) for the following functions: ...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

question_answer

Q: please solve and show your work

A: To simplify the expression and convert exponents to positive exponents.

question_answer

Q: y varies inversely with x. When x = 6, then y = 5. Find y when x = 1.

A: y varies inversely with x, so we can write y=k/x. Given When x = 6, then y = 5.Using this we get k= ...

question_answer

Q: Factor the polynomial function f(x). Then solve the equation f(x)=0. f(x)= x3+10x2+19x-30

A: For x=1 , f(1)=0 so x=1 is a zero of the function f(x)