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
deff fn [24]
1 year ago
13

An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

at is the rate of the plane in still air and what is the rate of the wind
Mathematics
1 answer:
natima [27]1 year ago
3 0

Answer:

Speed of the plane in still air: 779\; {\rm km \cdot h^{-1}}.

Windspeed: 100\; {\rm km \cdot h^{-1}}.

Step-by-step explanation:

Assume that x\; {\rm km \cdot h^{-1}} is the speed of the plane in still air, and that y\; {\rm km \cdot h^{-1}} is the speed of the wind.

  • When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be (x - y)\; {\rm km \cdot h^{-1}}.
  • When this plane is travelling in the same direction as the wind, the ground speed of this plane would be (x + y)\; {\rm km \cdot h^{-1}}.

The question states that when going against the wind (v = (x - y)\; {\rm km \cdot h^{-1}},) the plane travels 6111\; {\rm km} in 9\; {\rm h}. Hence, 9\, (x - y) = 6111.

Similarly, since the plane travels 7911\; {\rm km} in 9\; {\rm h} when travelling in the same direction as the wind (v = (x + y)\; {\rm km \cdot h^{-1}},) 9\, (x + y) = 7911.

Add the two equations to eliminate y. Subtract the second equation from the first to eliminate x. Solve this system of equations for x and y: x = 779 and y = 100.

Hence, the speed of this plane in still air would be 779\; {\rm km \cdot h^{-1}}, whereas the speed of the wind would be 100\; {\rm km \cdot h^{-1}}.

You might be interested in
Plugging in x back in the equation which is 6, what is the measure of this alternate exterior angle
andreyandreev [35.5K]

Answer:

14x - 4 + 13x + 2

= 14(6) - 4 + 13(6) + 2

= 160

5 0
2 years ago
Find the factor of the number 1.30​
Kazeer [188]

Answer:

1,2,3,5,6,10,15,30

Step-by-step explanation:

Factors of 30 are the following:-

1x30=30

2x15=30

3x10=30

5x6=30

6x5=30

10x3=30

15x2=30

30x1=30

8 0
3 years ago
In 2010, the average cost of electricity was 11.54 cents per kilowatt hour. In 2014, the average cost of electricity
Marianna [84]

Answer:

B

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What number would you add to both sides of x2 – 20x = 5 to complete the square?
lara31 [8.8K]

the answer would be100


7 0
3 years ago
Read 2 more answers
How many times greater is one hour than one minute
Sindrei [870]
The answer to your question is...

60 times more than a minute!
8 0
3 years ago
Other questions:
  • Can you help me with both don’t know if second one is right
    6·1 answer
  • Solve for x. <br><br> -3x + 4 = -8
    11·2 answers
  • Help,Please go step by step​
    11·2 answers
  • What is 8.6x+2.2(2x-5)=54
    13·1 answer
  • Simply this algebraic expression y-3/3+12
    15·2 answers
  • 2x+4+x=8+2(3+x)-3 solve for x
    15·2 answers
  • Which values are solutions to the inequality below? <br><br>Check all that apply.
    10·1 answer
  • Help i cant figure this out:(
    14·1 answer
  • 3.<br> Find the measure of each angle. If 34 degrees is given below.
    12·1 answer
  • A model that has 4 points and 6 lines containing exactly two points <br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!