1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KIM [24]
3 years ago
15

Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756

miles. On one particular trip, they fly into the wind, and the the flight takes 2 hours. The return trip, with the wind behind them, only takes1 1/2 hours. If the wind speed is the same on each trip, find the speed of the wind and find the speed of the plane in still air. ​
Mathematics
1 answer:
horsena [70]3 years ago
8 0

Answer:

Plane = 441 mi/h; wind =  63 mi/h

Step-by-step explanation:

distance = rate × time

 Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

 p - w = speed against wind

We have two conditions:

(1)  756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants                  (3)    756 = 2p - 2w

                                                          (4)   756 = 1.5p + 1.5 w  

Multiply Equation (3) by 3                (5) 2268 = 6p  -  6w

Multiply Equation (4) by 4                (6) 3024 = 6p + 6w

Add Equations (5) and (6)                     5292 = 12p

Divide each side by 12                     (7)        p = 441 mi/h

Substitute (7) into Equation(3)                 756 = 882 - 2w

Add 2w to each side                      2w + 756 = 882

Subtract 756 from each side                    2w = 126

Divide each side by 2                                 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2     (2) 756 = (441 + 63) × 1.5

   756 = 378 × 2                   756 = 504 × 1.5

   756 = 756                         756 = 756

You might be interested in
What is the derivative of the function below?
11111nata11111 [884]

g(x)=4x-\dfrac{1}{4x}=4x-(4x)^{-1}\\\\\\\\g'(x)=\left[4x-(4x)^{-1}\right]'=(4x)'-\left[(4x)^{-1}\right]'=4-[-1(4x)^{-2}]\cdot4\\\\=4+\dfrac{1}{(4x)^2}\cdot4=4+\dfrac{4}{4^2x^2}=\boxed{4+\dfrac{1}{4x^2}}\\\\Used:\\\\(f(x)-g(x))'=f'(x)-g'(x)\\\\.[f(g(x))]'=f'(g(x))\cdot g'(x)\\\\(x^n)'=nx^{n-1}

8 0
3 years ago
What is minimal completion time for the activities in the graph below? In a complete sentence, explain how you got your answer
kupik [55]
The minimal completion time for the activities is the shortest possible time for all the activities to be finished. In doing this, we look at the path that would require the greatest amount of time. At the START node, we choose the path that would take the longest which is 7 days leading to ACTIVITY D. Next, we choose the path leading to ACTIVITY B which takes 5 days. Then, we move to ACTIVITY C taking 5 days and finally, reach the END which would take 6 days. So, the minimal completion time is:
7 + 5 + 5 + 6 = 23 days
6 0
3 years ago
a person bought two watches for 2500, she sold one of them at 10% profit & the other one at 4% loss. what was her gain or lo
Zepler [3.9K]

Answer:

profit : RS 150 and profit % : 3%

Step-by-step explanation:

for profit 10% for loss 4%

s.p will be 2750. s.p will be 2400

Total s.p : 2750 +2400. total s.p : 5150

profit = s.p-c.p. profit%=?

=5150-5000. profit = p /c.p × 100

=150 = 150/5000×100

= 3%

8 0
2 years ago
A paper has an area of 84 square inches.what is the paper’s area in square centimeters
Angelina_Jolie [31]

Answer:

546

Step-by-step explanation:

Each square inch is equal to 6.5 square centimeters so you can multiply

84 × 6.5 = 546So, the area is 546 square centimeters.

Hope this helps =>

6 0
2 years ago
Read 2 more answers
30 POINTS!!!!!Which of the following expressions has a value that is less than - 1/2 ? Select all that apply.
gulaghasi [49]

Answer:

Step-by-step explanation: uhm idk soooooooooooo

4 0
3 years ago
Other questions:
  • A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of
    5·3 answers
  • A cake has a circumference of 25 1/7 inches. What is the area of the cake? Use 22/7 to approximate pi. Round to the nearest hund
    11·1 answer
  • 2.A radio station gave away 126 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. How m
    5·1 answer
  • A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is (i)a card of s
    10·1 answer
  • What are 3 expressions of 3/4x=15
    10·1 answer
  • Help im not good at math lol
    8·2 answers
  • The side lengths of a triangle are 5, 10, and 13. Is this a right triangle?
    7·1 answer
  • Pls help Thank you.​
    15·1 answer
  • Will give brainliest!
    12·1 answer
  • 3 times 3 im confused
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!