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
Serga [27]
3 years ago
12

If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the

air speed of the plane and speed of the wind.
Mathematics
1 answer:
denis-greek [22]3 years ago
6 0

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.  

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)

Now at head wind → 720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

You might be interested in
I need help writing this proof!!
brilliants [131]
1: m<ABD = m<CBE | given
2: m<CBD = m<CBD | reflexive
3: m<1 = m<3 | subtraction
7 0
3 years ago
A, B and C lie on a straight line.<br>Given that angle y = 135° and angle z = 97°, work out x.​
Over [174]

Answer:

135°+97°+x=180°. 232°+x=180°. x=232-180=102°

:x=102°

8 0
3 years ago
A rectangular prism has a length of 2 y, a width of 3 y, and a height of 5 y. If the volume of the prism is 10,290 units, what i
inessss [21]

Answer:

y=7

Step-by-step explanation:

2x7=14

3x7=21

5x7=35

14x21x35=10,290

6 0
3 years ago
Any help would be appreciated
mario62 [17]
5/8- I think that is the right answer
7 0
3 years ago
What sort of information can you get from conditional frequencies that you couldn't get by just looking at the relative frequenc
shepuryov [24]

Answer:

<h2>Conditional frequencies offer more specific information to analyse certain data set.</h2>

Step-by-step explanation:

A conditional frequency is a type of relative frequency which involves a condition to be defined.

For example, the conditional frequency of having a house given that the person is female. Notice that this example shows the condition "being female", so the conditional frequency would be all females who own a house.

On the other hand, the relative frequency is just a ratio between the frequency of the data and the total number of  data. It's doesn't includes a condition to be defined, that's the difference.

Therefore, conditional frequencies offer more specific information to analyse certain data set.

3 0
2 years ago
Other questions:
  • A recipe calls for chocolate chips in a ratio of 1 cup of white chocolate chips to 2 cups of milk chocolate chips. How many milk
    10·2 answers
  • Find the lateral area the regular pyramid.<br><br> L.A.=
    15·1 answer
  • Help please and need to show the work!
    6·1 answer
  • If a shirt costs $188.00 and the savings is 60%, what's the total cost ?
    14·1 answer
  • What is the value of x?
    5·1 answer
  • I can't figure out what 2x/x equals.
    12·2 answers
  • Lowest common factor of 36 and 56??? ​
    6·1 answer
  • PLEASE HELP PLEASEEE!!!!
    13·1 answer
  • What 7482 + y + A -2937?
    5·1 answer
  • Give me the awnser pls fast
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!