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
cupoosta [38]
3 years ago
13

A driver of a car took a day trip around the coastline driving at two different speeds. He drove 7070 miles at a slower speed an

d 200200​ miles at a speed 3030 miles per hour faster. If the time spent driving at the faster speed was twicetwice that spent driving at the slower​ speed, find the two speeds during the trip.
Physics
2 answers:
kondor19780726 [428]3 years ago
7 0

Answer:

Slower speed = 70 mph

Faster speed = 100 mph

Explanation:

Let the slower speed be x miles per hour

Then, the faster speed = (x+30) miles per hour

Let the time spent driving at the slower speed (that is, at x mph) = t

Then, time spent driving at the faster speed (that is, at (x+30) mph) = 2t

speed = (distance)/(time)

Distance = speed × time

Distance covered during the slower speed = x × t = xt = 70 (given in the question)

xt = 70 (eqn 1)

At the faster speed

Distance covered = (x+30)(2t) = 2t(x+30)

Distance covered during faster speed = 200 miles

2t(x+30) = 200

2xt + 60t = 200

Recall (eqn 1)

xt = 70

2(70) + 60t = 200

60t = 60

t = 1 hour.

xt = 70

Slower speed = x = 70 mph

Faster speed = (x+30) = 100 mph

babymother [125]3 years ago
5 0

complete question:

A driver of a car took a day trip around the coastline driving at two different speeds. He drove 70 miles at a slower speed and 200​ miles at a speed 30 miles per hour faster. If the time spent driving at the faster speed was twice that spent driving at the slower​ speed, find the two speeds during the trip.

Answer:

slower speed

speed   = 70 miles/hr

Faster speed

speed = 100 miles/hr

Explanation:

The driver took a day trip at two different speed. The first speed was slower while the second was faster.

let the speed be divided into 2

Slower speed

speed = a

distance = 70

speed = distance/time

time = distance/speed

time = 70/a

Faster speed

speed = a + 30

distance = 200

speed = distance/time

time = distance/speed

time = 200/a + 30

Since the faster speed time is twice the slower speed time it can be represented as follows:

2 × 70/a = 200/a + 30

140/a = 200/ a + 30

cross multiply

140a + 140(30) = 200a

4200 = 200a - 140a

4200 = 60a

divide both sides by 60

4200/60 = a

a = 70

Inserting the value of a in the time of the faster speed formula

time = 200/a + 30

time = 200/100

time = 2 hr

slower speed

speed = distance/time

speed = 70/1

speed   = 70 miles/hr

Faster speed

speed = distance/time

speed = 200/2

speed = 100 miles/hr

You might be interested in
Urgent! Based on the diagram below, what color will each pigmented paper appear to be to an observer?
Nastasia [14]

Answer:

Example A will appear green, while Example B will appear greenish-blue.

Explanation:

The color of an object depend on which part of the visible light it reflects towards the observer. Visible light is made up of seven colors: Violet, Indigo, Blue, Green, Yellow, Orange, and Red (VIBGYOR). If all the colors will be reflected object will appear white. If all the colors are absorbed the object appears black. In example A, only green color is being reflected so it will appear <em>Green</em>.

In example B, green and blue are being reflected so the object will appear a mix of green and blue. This color is cyan (greenish blue).

7 0
3 years ago
Isaac Newton published his work on gravity in the Philosophiæ Naturalis Principia Mathematica (Latin for Mathematical Principles
Igoryamba
Today we can make observations that would lead us to the same conclusion as newton. If you throw a baseball in the air, it always comes back down. This is because of gravity. duh.
6 0
3 years ago
A cube with sides of length 2cm has a mass of 7.36g . calculate the density of the cube
kondor19780726 [428]
Density = 7.36 grams ÷ (2 cm × 2 cm × 2cm) = 0.92 g/cm^3

7 0
3 years ago
What are the different kinds of forces?
Anon25 [30]
Gravity, friction, and air resistance are some examples.
6 0
3 years ago
Read 2 more answers
As the average kinetic energy of a substance increases, the tempature of the sample
taurus [48]
I have no clue. Sorry bro
6 0
3 years ago
Read 2 more answers
Other questions:
  • 11 Which statement correctly describes
    5·2 answers
  • What factor affects the color of a star?
    9·2 answers
  • Waves cause erosion through the processes of ______ and abrasion.
    6·2 answers
  • Сколько времени двигалась машина со скоростью 36 км/ч если она проехала 1800 м Ответ в минутах
    15·1 answer
  • What is a greater force 10 Newtons or 5lbs?
    11·2 answers
  • Resistance in wires causes electrical energy to be converted to what form of energy? sound chemical energy nuclear energy therma
    8·1 answer
  • Which of the following is a characteristic of digital data?
    15·1 answer
  • FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) th
    7·1 answer
  • Explain one reason why OHS is important on a farm.​
    8·1 answer
  • When discussing distances between objects in the solar system, which term do you use?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!