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
Ray Of Light [21]
3 years ago
10

A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer because the average

rate of speed was 4 mph less. What is the length of the route?
Mathematics
1 answer:
zhenek [66]3 years ago
4 0

A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer.

Let x be the speed of the car

Car trip from New York to Cincinnati

We know Distance D = speed * time

time = 12.5 hours and speed =x

D = 12.5x

Return trip

The return trip by the same route took 1 hour longer. So 12.5+1 = 13.5 hours

he average rate of speed was 4 mph less. So speed is x-4

Distance D = speed * time

time = 13.5 hours and speed =x-4

D = (x-4)*13.5

D= 13.5x-54

The distance of ongoing trip and return trip are same

So we equate both the distance equations D= 13.5x-54  and D= 12.5x

12.5x = 13.5x-54    

Subtract  13.5 on both sides

-1x = -54

x=54

speed of ongoing trip = 54 miles per hour

Distance D = 12.5x = 12.5 * 54=675 miles

The length of the route = 675 miles



You might be interested in
The Grand Prix Formula 1 race this weekend is in Singapore. The race consists of 61 laps around a 5.067km long track. At 225 mil
telo118 [61]
I think the answer would be 50.67 seconds. I hope my answer helps you :)
8 0
3 years ago
What is the quotient of the following division problem? x 1 startlongdivisionsymbol x squared 3 x 2 endlongdivisionsymbol. minus
Monica [59]

The quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

<h3>What is the quotient?</h3>

Quotient is the resultant number which is obtained by dividing a number with another. Let a number <em>a</em> is divided by number b. Then the quotient of these two number will be,

q=\dfrac{a}{b}

Here, (a, b) are the real numbers.

The given division expression is,

\dfrac{x^2+3x+2}{x+1}

Let the quotient of this division problem is f(x). Thus,

f(x)=\dfrac{x^2+3x+2}{x+1}

Factor the numerator expression as,

f(x)=\dfrac{x^2+2x+x+2}{x+1}\\f(x)=\dfrac{x(x+2)+1(x+2)}{x+1}\\f(x)=\dfrac{(x+2)(x+1)}{x+1}\\f(x)={x+2}

Thus, the quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

Learn more about the quotient here;

brainly.com/question/673545

5 0
2 years ago
Maya reads 1/8 of a newspaper in 1/28 of a minute.how many minutes does she need to read an entire paper
zepelin [54]
8/20 of a minute or 2/5 of a minute
5 0
3 years ago
X+4 is the same as 4+x
babunello [35]
Yes it is the same , just written differently
3 0
3 years ago
Read 2 more answers
Find the length of the segment AB.
ad-work [718]

Answer:

8.6

Step-by-step explanation:

You need to use the Patagorean theorem! :) Just do seven squared and five squared add them up and then square root them!!

3 0
1 year ago
Read 2 more answers
Other questions:
  • PLEASE HELP I don't understand at all please help
    6·1 answer
  • On a test, mean score was 70 and the standard deviation of the scores was 15.
    5·1 answer
  • The ____ property allows you to regroup terms using parentheses when adding or multiplying, without changing the answer.
    7·2 answers
  • Which expression is equivalent to 34 ⋅ 3−9? 1 over 3 to the 13th power 1 over 3 to the 5th power 35 313
    11·2 answers
  • Does anyone know what this means?
    6·1 answer
  • Can someone please help me?!!? I don't know how to do this and I need help right now
    12·1 answer
  • Paden pays $2.10 for 5 1/4 pounds of bananas. Alyssa pays $3.25 for 6 1/2 pounds of bananas. Which is a better buy?
    12·2 answers
  • Help please will give brainiest
    13·1 answer
  • Can someone please explain
    10·1 answer
  • Craig is constructing weights of different sizes to use in his home gym. One such weight is a solid steel sphere with a radius o
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!