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
Setler79 [48]
3 years ago
15

Tony drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took hours. When Tony drove hom

e, there was no traffic and the trip only took hours. If his average rate was miles per hour faster on the trip home, how far away does Tony live from the mountains? Do not do any rounding.
Physics
2 answers:
polet [3.4K]3 years ago
4 0

Answer:

Question not completed, so I analysed the question first

Tony drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 6 hours. when tony drove home, there was no traffic and the trip only took 4 hours. if his average rate was 22 miles per hour faster on the trip home, how far away does tony live from the mountains?

Explanation:

Let use variables to solve the problems

Let the first trip to be mountain take x hours

Let the trip back home take y hours

Let the speed to while going to the mountain be a miles/hour

Then, while going home it was b miles/hour faster than while going to the mountain.

Then, speed going home is (a+b)miles / hour

The formula for speed is given as

Speed=distance/time

The constant through out the journey is distance, the two journey has the same distance.

Then,

Distance =speed×time

For first journey going to the mountain

Distance = a×x=ax miles

For the second journey going home

Distance =y×(a+b)

Distance Mountain= distance home

ax=y(a+b)

Make a subject of the formula

ax=ya+yb

ax-ya=yb

a(x-y)=yb

a=yb/(x-y)

Therefore, distance from mountain is

Distance=speed ×time

Distance= a×x=ax

Now, applying the questions

So from the questions

x=6hours, y=4hours

Also, b=22miles/hour

Then,

a=yb/(x-y)

a=4×22/(6-4)

a=88/2

a=44miles/hour

Then, the house distance from the mountain is

Distance=ax

Distance =44×6

Distance =264miles

vovangra [49]3 years ago
3 0

Answer:

480 miles.

Explanation:

Let, S = rate on his way to the mountains.

Assume, Sgoing x time going = Sreturning x time returning

= S × 12 hours = (S + 20mph) ×8 hours

= 12 × S = 8 × S + 160.

4 × S = 160

S = 40 miles/hour

The trip took 12 hours at 40 miles per hour, so distance was:

= 12 hours × 40 mph

= 480 miles.

You might be interested in
A 2200 kilogram car is accelerating at 3.4 m/s/s. what is the NET force?
sdas [7]
We Know, F = m*a
F = 2200 * 3.4
F = 7480 Kg m/s²

So, your final answer is 7480
7 0
3 years ago
What is the formula for conservation of momentum
olga55 [171]

Answer:

The general equation for conservation of momentum during a collision between n number of objects is given as: [m i ×v i a ] = [m i ×v i b ] Where m i is the mass of object i , v i a is the velocity of object i before the collision, and v i b is the velocity of object i after the collision.

Explanation:

6 0
2 years ago
Which of the following is evidence that supports the idea of uniformitarianism?
Inga [223]
D. rates of soil erosion are much lower during droughts that last several years
5 0
3 years ago
How long will it take for a boat traveling at 36 k/h to go 126 km?
brilliants [131]
3 hours 30 min i believe because 126/36 is 3.5 and 3.5 hours is 3 hours and 30 min. Brainliest pls
5 0
3 years ago
A 2,700-kg truck runs into the rear of a 1,000-kg car that was stationary. The truck and car are locked together after the colli
Leto [7]

Answer:

6200 J

Explanation:

Momentum is conserved.

m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂

The car is initially stationary.  The truck and car stick together after the collision, so they have the same final velocity.  Therefore:

m₁ u₁ = (m₁ + m₂) v

Solving for the truck's initial velocity:

(2700 kg) u = (2700 kg + 1000 kg) (3 m/s)

u = 4.11 m/s

The change in kinetic energy is therefore:

ΔKE = ½ (m₁ + m₂) v² − ½ m₁ u²

ΔKE = ½ (2700 kg + 1000 kg) (3 m/s)² − ½ (2700 kg) (4.11 m/s)²

ΔKE = -6200 J

6200 J of kinetic energy is "lost".

3 0
3 years ago
Other questions:
  • What is the prefix for oxygen in As2O5? tri- di- mono- penta-
    15·2 answers
  • Which is the correct formula for finding the frequency of an electromagnetic wave? f = c – f = f = + c f =
    16·1 answer
  • A light wave travels through water (n=1.33) at an angle of 35º. What angle
    7·2 answers
  • Help!!! What is the kinetic energy of a 0.1kg baseball thrown at 20m/s? With work please
    15·1 answer
  • A pulley has an initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2. Through what angle does
    14·1 answer
  • For any given wave energy is most related to the __________ of the wave.
    13·2 answers
  • In which situation would a space probe most likely experience centripetal acceleration?
    14·1 answer
  • 1.Convert 340 cm into m *(answer=0.34m)
    12·1 answer
  • A basketball referee tosses the ball straight up for the starting tip-off. At what velocity must a basketball player leave the g
    8·1 answer
  • two car moving in the same direction have speed of 100km/h-1 and 130km/h.what is the resultant of velocity .shoe carnival in the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!