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
How many atoms in something determines it
Citrus2011 [14]
The chemical formula for water is H2<span>O which means that every </span>molecule<span> of water has 2 </span>atoms<span> of hydrogen (H) and one </span>atom<span> of oxygen (O). Here comes the key part. From the Periodic Table of Elements, one sees that one mole of hydrogen </span>atoms weighs <span>1 gram while one mole of oxygen </span>atoms<span> weighs 16 grams.</span>
7 0
3 years ago
The baby giraffe weighed 132 pounds at birth. He gained weight at a steady rate for the first 7 months until his weight reached
Goshia [24]

Answer: 77 pounds each month I think

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Point A and point B are placed on a number line. Point A is located at - 20 and
Igoryamba

Answer:

Point B is located on -25

4 0
3 years ago
If f=3,8 = 5, h= 10 find the value of<br>2f-g + h​
Viktor [21]
That makes no sense. Can you rephrase the question?
8 0
3 years ago
Will mark brainest help please !!!
amm1812

8) red and 1, red and 2, red and 3, blue and 1, blue and 2, blue and 3

So answer is 6

9) 0.5*1/3 = 0.17

10) 0.5*2/3 = 0.33

7 0
3 years ago
Other questions:
  • Mark bought refreshments. Sandwiches were 2.50 each and bottles of water were $1.25 each. He spent $356.25 on a total of 180 ite
    15·1 answer
  • Which expression gives the distance between the points (5,1) and (9, -6)
    10·2 answers
  • Lorenzo built a rectangular brick patio. He is putting a stone border around the edge of the patio. The width of the patio is 12
    14·2 answers
  • 20 POINTS NO FAKE ANSWERS OR ELSE I WILL REPORT
    11·1 answer
  • - 9(x + 2) &gt; 9(x – 3)
    11·1 answer
  • 1. The diagram below is an equilateral
    6·1 answer
  • Which system is equivalent to StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row 7 x squared + 2 y s
    6·2 answers
  • A measure of the amount of matter in a object
    6·1 answer
  • Yessir another one for the bois
    14·1 answer
  • Hiiiiiiiiiiiiiiiiiiii my frndz give me the answer3x/4-2y/3=5<br>2x/5+3y/5=17<br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!