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
What is 6.7086 rounded to the nearest tenth
padilas [110]
Hello!

Decimals used to confuse me a lot! :D 

When a question asks to round the decimal to the "nearest tenth", it simply means to round it to one decimal place.

6.7086 would be rounded to 6.7 if we round it to the nearest tenth. See, the 7 is in one place after the decimal point. 

The best way to understand decimal places, in my opinion, is to search up a tenths, hundredths, thousandths, etc. chart. Hope this gave you a better understanding of decimal places!


8 0
3 years ago
Which is the best approximation for sqrt 55<br> A) 7<br> B) 7 2/5<br> C) 7 7/15<br> D) 8
Kitty [74]
The best approximation for sqrt 55 would be: B) 7 2/5
5 0
3 years ago
Find the arc length of the partial circle.
Kay [80]

Answer:

12.42 units

Step by step explanation:

Given,

length of the radius = 2 units

Therefore, arc length of the complete circle = 2 × 3.14 × 2 units = 12.56 units

Therefore, arc length of the partial circle = 3/4 × 12.56 units

= 12.42 units

3 0
3 years ago
Which survey is biased?
Ymorist [56]
I believe it's b , hopefully this helps
7 0
2 years ago
The ratio of red apples to green apples on a farm is 3:1. If there are 180 red apples on the farm, how many green apples are the
xxMikexx [17]
Think of 180 divide by 3
it’ll give you 60
so there are 60 green apples
8 0
2 years ago
Read 2 more answers
Other questions:
  • Sarah is training for a bike race. She rides her bike 5 3/4 miles in 1/3 hour.What is Sarah's rate miles per hour?
    14·2 answers
  • How to write the function whose graph of the graph but it shifted to the left 4 units
    7·1 answer
  • What is 80% as a fraction?
    15·2 answers
  • The equations are written in point-slope form. Which equation represents a line through points (-8, 3) and (2, -3)?
    9·1 answer
  • An author has 18 pages to send to a publisher. The author has only small envelopes and can't fit all the pages into a single env
    15·1 answer
  • Please Help ASAP <br> Select the true statement regarding the end behavior of the functions.
    9·2 answers
  • Find z in 4/3(multiplied by)z=20
    13·2 answers
  • Jim sold 396 tickets for the school play. Student tickets cost $3 and adult tickets cost $4. Jim's sales totaled $1385. How many
    12·1 answer
  • A triangle is translated by using the rule (x,y) (x-4,y+1). Which describes how the figure is moved?​
    10·2 answers
  • Solve this please 13 = 8 - 6x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!