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
Paha777 [63]
3 years ago
5

Two cars start out together from the same place. they travel in opposite​ directions, with one of them traveling 5 miles per hou

r faster than the other. after two ​hours, they are 262 miles apart. how fast is each car​ traveling?
Mathematics
1 answer:
Mashutka [201]3 years ago
7 0
<u>Annotation</u>
General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.


One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5  (first equation)

The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)

Plug the d-v-t relationship to the second equation
d₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262

Plug the v₁ as  (v₂+5) from the first equation
2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.

Find the velocity of the first car, use the first equation
v₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.

Answer
\boxed{\boxed{ v_{1}=68mph} }
\boxed{\boxed{ v_{2}=63mph} }
You might be interested in
In congruent figures, corresponding angles have equal measures. true or false?
algol [13]
This is true

Think of two houses. If we say "the houses are identical" then the corresponding pieces must be the same (eg: the doors must be the same type out of the same material). In this analogy, the houses are the triangles, which are the overall structures. The doors are the angles since they are pieces of the overall structures. This is what CPCTC is saying

CPCTC = Corresponding Parts of Congruent Triangles are Congruent

Once again, the final answer is true.
8 0
3 years ago
The perimeter of a rectangular garden is 24. If the length is half the width, what is<br> the width?
Anna11 [10]

Let length be x

  • Width be 2x

ATQ

\\ \sf\longmapsto 2(L+B)=24

\\ \sf\longmapsto 2(x+2x)=2=

\\ \sf\longmapsto 2(3x)=24

\\ \sf\longmapsto 6x=24

\\ \sf\longmapsto x=\dfrac{24}{6}

\\ \sf\longmapsto x=4

4 0
3 years ago
Read 2 more answers
What is 463,462 rounded to the nearest ten?
nignag [31]

Answer: 460,000

your welcome btw

3 0
3 years ago
A 2,000 piece puzzle is in the shape of a trapezoid. The lengths of the bases are 7012 and 6512 inches long. The area of the puz
Sholpan [36]

Answer:

0.18

Step-by-step explanation:

Maths big brain

4 0
2 years ago
Consider the triangle with vertices (0, 0), (1, 0), (0, 1). Suppose that (X, Y ) is a uniformly chosen random point from this tr
ivann1987 [24]

Answer:

The solution is given in attached diagram:

5 0
3 years ago
Other questions:
  • The perfect square root of 130 is?....
    15·1 answer
  • craig are some blueberries. he used 2/5 of the blueberries to make muffins. He ate 1/3 of the remainder. what fraction of the bl
    15·2 answers
  • 87 times 422 divided by 4
    10·1 answer
  • Who know about this tell please???
    6·1 answer
  • g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability th
    14·1 answer
  • PLEASE HELP ME PLEASE HELP ME PLEASE HELP ME PLEASE HELP ME​
    11·1 answer
  • Robin and Evelyn are playing a target game. The object of the game is to get an object as close to the center as possible. Each
    13·2 answers
  • The endpoints of the diameter of a circle are (-12, 7) and (3, 15). What is the length of the diameter?
    12·1 answer
  • Please help
    7·1 answer
  • What kind of triangle has sides that have length 4, 8, and 10? ( the triangle acute, right, or obtuse ?)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!