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
frez [133]
3 years ago
7

A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind

if the​ pilot's speed in still air is 315 miles per hour.
Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Given:

A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.

Pilot's speed in still air is 315 miles per hour.

To find:

The speed of the wind.

Solution:

Let the speed of wind be x miles per hour.

Speed with wind = 315+x miles per hour

Speed against wind = 315-x miles per hour

We know that,

Time=\dfrac{Distance}{Speed}

According to the question,

\dfrac{450}{315+x}=\dfrac{360}{315-x}

Divide both sides by 90.

\dfrac{5}{315+x}=\dfrac{4}{315-x}

By cross multiplication, we get

5(315-x)=4(315+x)

5(315)-5x=4(315)+4x

5(315)-4(315)=4x+5x

(5-4)315=9x

Divide both sides by 9.

\dfrac{(1)315}{9}=x

35=x

Therefore, the speed of wind is 35 miles per hour.

You might be interested in
When the numerator and denominator have only 1 as a common factor
sammy [17]
Then it is in simplest form and they are both prime
7 0
3 years ago
Read 2 more answers
PLEASEEEEEE HELP ME OUT
Alexandra [31]

Answer:

x = 135(being  \: opposite \: angles \: of \: a \: paralleogram)

Step-by-step explanation:

x =135(being opposite angles of a parallelogram)

3 0
2 years ago
Suppose a jar contains 8 red marbles and 14 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the pro
NikAS [45]

it would most likely be blue because its more

it would be a  57.1429%. of blue

8 0
2 years ago
800 decreased by 45%
Dmitry [639]

Answer:

Equal to 440

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The percent of decrease from 12 to 9.
MissTica
I’m pretty sure it’s 75%
7 0
3 years ago
Read 2 more answers
Other questions:
  • If a man earns £80,000 a week and this is 900% more than he used to earn, what was his original wage?
    8·2 answers
  • 4−6=−2−16−2<br> 4<br> k<br> -<br> 6<br> =<br> -<br> 2<br> k<br> -<br> 16<br> -<br> 2<br> for
    6·1 answer
  • Hi guys really need help w/ this problem will give brainllest for the first person
    11·2 answers
  • Find the two solutions for square root of 25
    7·2 answers
  • The F-ratio is determined by dividing _________by ___________. Group of answer choices within-groups variance; between-groups va
    13·1 answer
  • An adult has a total of about 22.6 square feet (ft2) of skin. Use the fact that 1 m is approximately equal to 3.281 feet to conv
    7·2 answers
  • (Science/math) please answer fast. read the problem below. please don't report if i got subject wrong
    7·2 answers
  • 2) Evaluate the given exponential expression
    12·2 answers
  • Question
    10·1 answer
  • Grade 7 Checkpoint 4- Part 1<br> What is the value of x?<br> Enter your answer in the box.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!