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
NO BOTS!!!!!!!!!!!!<br> Plz help me with this
dlinn [17]

Answer:

Step-by-step explanation:

7 0
2 years ago
3/4 divides by 1/7 =
anyanavicka [17]

3/4 divides by 1/7 =

copy dot flip

3/4 * 7/1

21/4

4 goes into 21 5 times with 1 left over

5 1/4

4 0
2 years ago
Read 2 more answers
Type the integer that makes the following addition sentence true: -5 + _ = -19
brilliants [131]

Answer:

-14

Step-by-step explanation:


6 0
2 years ago
Read 2 more answers
Please please please help me guys
Ksenya-84 [330]
The answer is A hope this helps
4 0
3 years ago
Divide.<br> +2=0<br> 1. Submit
n200080 [17]

Answer:do you mean 2/0 because that would be 0

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • A painter mixes 6 parts red paint and 8 parts yellow to make dark orange paint. Which equation can the painter use to calculate
    8·1 answer
  • My number has 2 hundreds the tens dight is 9 more then the ones digit. My number is
    11·2 answers
  • Zenich Corp manufactures laptops. The waiting time is 72 minutes before the start of production and the manufacturing lead time
    15·1 answer
  • Randy filled out a deposit slip today. He deposited two checks for $123.17 and $34.68 and took out $50 in cash.
    7·2 answers
  • Find z in 4/3(multiplied by)z=20
    13·2 answers
  • Question: “Find the range and interquartile range if the following data”
    13·1 answer
  • The answer to this problem
    6·1 answer
  • A triangle has an area of 18ft squared. List all the possible positive integers that could represent its base and height. Use se
    14·1 answer
  • Anna has 5 pounds of ham to make 20 sandwiches. She puts the same amount of ham on each sandwich. Which statement about Anna’s s
    5·2 answers
  • A dealer spent a total amount of $5250 for importing some cosmetics. If the total cost of the cosmetics was $5000 without tax, w
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!