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
bija089 [108]
3 years ago
15

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The

speed of one of the planes was 200 km/hour slower than the speed of the other plane, and so it arrived at its destination 1.5 hours after the faster plane. Find the speeds of both planes.
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

  • 800 kph
  • 600 kph

Step-by-step explanation:

<u>Equation</u>

Let s represent the speed of the faster plane. Then its travel time is ...

  time = distance/speed = 3600/s

travel time for the slower plane is ...

  time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

  3600/(s -200) -3600/s = 1.5

<u>Solution</u>

Multiplying by (2/3)s(s -200), we get ...

  2400(s) -2400(s -200) = s(s -200)

  s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

  (s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

<u>Conclusion</u>

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

<em>Check</em>

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

You might be interested in
Emily has 7 cups of water in a jug.If she drinks 2/3 of a cup every hour.How long would it take her to drink the whole jug
zepelin [54]

It would take her 10.5 hours to drink the whole jug.

Step-by-step explanation:

Given,

Cups of water in jug = 7

Water drunk every hour = \frac{2}{3} of cup

Let,

x be the number of hours.

According to given statement;

\frac{2}{3}x=7

Multiplying both sides by \frac{3}{2}

\frac{3}{2}*\frac{2}{3}x=7*\frac{3}{2}\\x=\frac{21}{2}\\x=10.5

It would take her 10.5 hours to drink the whole jug.

Keywords: fractions, multiplication

Learn more about fractions at:

  • brainly.com/question/6459599
  • brainly.com/question/6649771

#LearnwithBrainly

8 0
3 years ago
Just welp me finish this math stuff pls
kykrilka [37]

Answer:

2/7

Step-by-step explanation:

You would add what is in the parenthesees and you get 6/14 and if you simplify you get 3/7. So you would do 5/7 -3/7

8 0
3 years ago
Read 2 more answers
3
Dafna11 [192]

The approximate length of rail that needs to be replaced is 7.1 ft

<h3>Length of arc</h3>

Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where

  • Ф = central angle of rail section = 27° and
  • D = diameter of circular pool = 30 ft

<h3>Approximate length of rail</h3>

So, substituting the values of the variables into the equation, we have

L = Ф/360° × πD

L = 27°/360° × π × 30 ft

L = 3/40 × π × 30 ft

L = 3/4 × π × 3 ft

L = 9/4 × π  ft

L = 2.25 × π  ft

L = 7.07 ft

L ≅ 7.1 ft

So, the approximate length of rail that needs to be replaced is 7.1 ft

Learn more about length of an arc here:

brainly.com/question/8402454

5 0
2 years ago
Can anyone please help me with these.
oksano4ka [1.4K]
1,3,4,6,10,5,9,20 and 7 :)
4 0
3 years ago
Darrin graphs the following inequality: y &gt; -3x -5. Does the side of the line with all solutions (the shaded region) include
Anarel [89]

Yes it does include the test point (0, 0)

  • equation:  y > -3x -5

<h3>Find y-intercept:</h3>
  • y > -3(0) -5
  • y > -5

<h3>Find x-intercept:</h3>
  • y > -3x -5

<u>switch sides</u>

  • -3x - 5 < 0
  • -3x < 5

<u>Multiply both sides by -1 reverses the inequality</u>

  • x > -5/3

Thus, the following (0, 0) comes under the following x > -5/3 and y > -5

3 0
2 years ago
Other questions:
  • QUICK QUICK QUICK QUICK PLEASE ANSWER THIS IN 1 MINUTE PLEASE NOW!THEN YOU WILL BE THE BRAINLIEST!
    13·1 answer
  • A car drives 195 miles in 3 hours and 15 minutes. what is the average speed of the car?
    10·1 answer
  • Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is in the shape of a square pyramid and
    9·1 answer
  • The diameter of a small grain of sand is about 0.00002 meters, which can be written as 2•10^n
    15·2 answers
  • Which of the following statements is true?
    5·2 answers
  • I need help with the questions in the pictures
    12·1 answer
  • Select all the expressions equivalent to:
    7·1 answer
  • Two similar triangles are shown on the coordinate grid:
    12·1 answer
  • What is the theoretical probability that you will get a sum of 7? P(sum of 7)=
    13·1 answer
  • Write a function in any form that would match the graph shown below
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!