The Escobar family went on a car trip. They drove 100 miles on country roads and 240 miles on the highway. They drove 50% faster on the highway than on the country roads. Let r represent their rate on country roads in miles per hour. a. Write and simplify an expression that represents the number of hours it took the Escobar family to complete their trip in terms of r. (Hint: 50% faster means 150% of the original rate.) b. Find their total travel time if they drove the posted speed limit.

Answers

Answer 1

Answer: Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)..

Explanation:

Answer 2

The expression that represents the number of hours it took the Escobar family to complete their trip in terms of r is 260/r

The expression for the total time of travel?

Let r represent their rate on country road and R represent their rate on highway.

So, we have:

R = (100% + 50%) * r

Evaluate

R = 1.5r

Rate is calculated using:

Rate = Distance/Time

So, we have:

r = 100/t and R = 240/T

Make T and t the subject

t = 100/r and T = 240/R

The total time of travel is:

Total = t + T

So, we have:

Total = 100/r + 240/R

Substitute R = 1.5r

Total = 100/r + 240/1.5r

Simplify

Total = 100/r + 160/r

Evaluate the sum

Total = 260/r

The total time of travel

The speed limit is 40mph

This means that:

r = 40

In (a), we have:

Total = 260/r

Substitute 40 for r

Total = 260/40

Evaluate

Total = 6.5

Hence, their total time of travel is 6.5hours

Read more about rate and distance at:

https://brainly.com/question/4931057

#SPJ2


Related Questions

What is the opportunity cost in this scenario?
Mikael has saved $4,000 for his to trip to Brazil. He has calculated that his total transportation expenses will be $1,000. The hotel will cost him
another $1,500. He will spend about $500 on food. He plans on spending the remaining $1,000 for sightseeing and buying souvenirs.
While booking his plane ticket, he realizes that the price has gone up. His total transportation expenses will go up by $200. He realizes that he
cannot cancel his hotel reservation. He also doesn't want to go cheap on food. Finally, he decides to give up visiting the popular Ouro Preto
during his stay in Brazil.

Answers

The opportunity cost in this scenario is Sightseeing.

The Opportunity Cost in this scenario will be the amount of  $1,000 that has been made available for  sightseeing and buying souvenirs.

Opportunity Cost is an alternative forgone which a person or an individual give up or forgone  in order to choose  other available alternative when making a  decision  which inturn may  result in  the loss of  gain  that would have been derived  if the alternative forgone was  choosing.

Example of opportunity cost is  giving up

on buying movies tickets for a textbook.

Therefore the opportunity cost in this scenario is Sightseeing.

Learn more about Opportunity cost here:

https://brainly.com/question/13036997

What is an equation of the line that passes through the points (-6, -3) and
(-3,-5)?

Answers

Answer:

Y= -2/3X - 7

Explanation:

[tex]-2xy^2(x^3y-2x^2y^2+5xy^3[/tex]

Answers

[tex]\boxed{\sf a(b+c+d)=ab+ac+ad}[/tex]

[tex]\\ \sf\longmapsto -2xy^2(x^3y-2x^2y^2+5xy^3)[/tex]

[tex]\\ \sf\longmapsto -2x^4y^3+4x^3y^4-10x^2y^5[/tex]

Hope it helps

Carrying a load of 100 pounds can reduce your cars fuel efficiency by ?

Answers

Answer: 1%

Explanation:

"According to the Environmental Protection Agency, each additional 100 pounds on a vehicle can reduce its fuel efficiency by 1%. Carrying open cargo (i.e., on flatbeds) is also less fuel-efficient than carrying cargo inside a closed truck."

how many chapters are there in the Bible?​

Answers

there are 66 chapters in Bible

làm thế nào để xác định mình đã thích 1 người

Answers

câu này k có ai giải được trừ người đặt câu hỏi

One of the five reasons young drivers, age 16 to 20 are involved in more
collisions than older drivers is _______
pressure.
A. peer
B. school
C. night

Answers

Answer:

A

Explanation:

because their friends can be drinking in the car and says to the driver will u like to drink and persuading which will lead to him being drunk

Peer pressure because that’s the only word that fits.

true or false
1. The computers of all the five generations have different properties.​

Answers

Answer:

The answer to your question is true

Indeed the answer is true
Other Questions
Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so thatA1 is smaller than A2.)b = 129, c = 168, B = 48Angle A1Angle A2Angle C1Angle C2side a1side a2 What raw material did the Olmecs develop that they used in a sacred game?A) clayOB) maizeOC) basaltOD) rubber One reason why public policy often differs from public opinion is that Group of answer choices public opinion tends to be more stable than public policy. public opinion polling is not always accurate. public opinion polling tends to express the opinions of the political elite. public opinion is easier to gauge than public policy. Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data. MLB Batting Averages0.2750.275 0.3190.319 0.3140.314 0.2800.280 0.2880.2880.3140.314 0.2950.295 0.2960.296 0.3170.317 0.2760.2760.2740.274 0.2890.289 0.2950.295 0.2760.276 0.2750.2750.2960.296 0.3110.311 0.2890.289 0.2830.283 0.3120.312 Please help with all 3 parts! Function g can be thought of as a scaled version of f(x)=|x| the eggs of silkworm are kept in co of storage why is elizabeth cady stanton considered a humanitarian You drive 7.5 km in a straight line in a direction east of north. a. Find the distances you would have to drive straight east and then straight north to arrive at the same point. b. Show that you still arrive at the same point if the east and north legs are reversed in order. discuss tropical rain forest under climatic factor affecting distribution correlation between Health and Home Science One of the unique things about Confucius' school was that he taught individuals of all social classes, including those ofthe lower classes.O TrueO False james cuts his neighbor's lawn the first is 1000 m long and 100 m wide what is the area PromptHow did the Reformation change an artist's life? Over the past 60 years, many amphibian species have experienced significant population declines, and some species have become extinct. Scientists suspected that local human activities such as the destruction of wetlands, regional pollution, and deforestation were the main reasons for these losses. However, research over the past 20 years reveals significant amphibian population declines in protected areas of the world, such as nature preserves and parks. These global declines suggest widespread problems including increased ultraviolet radiation, acid rain, and disease. In Switzerland, for example, 14 of the 20 native amphibian species are threatened with extinction. Chytridiomycosis is a fungal disease first identified in 1998 as a cause of massive amphibian deaths. In some severely impacted populations, a few individuals have survived, perhaps because of some natural resistance. If these resistant individuals continue to survive and prosper, new resistant populations might emerge. This would be an example of ________. A box contains 100 tickets labeled with numbers. The average of the labels is 14 and the SD of the labels is 8.2. Eighteen tickets will be drawn independently at random with replacement from the box. The chance that the absolute value of the difference between the sample sum of the labels on the tickets and 252 does not exceed 278.32 is: __________ Select the correct answer from each drop-down menu.A company makes cylindrical vases. The capacity, in cubic centimeters, of a cylindrical vase the company produces is given by thefunction C() = 6.2873 + 28.26x2, where x is the radius, in centimeters. The area of the circular base of a vase, in squarecentimeters, is given by the function A () = 3.14.2To find the height of the vase, dividerepresents the height of the vase.the expressions modeling functions C(x) and A(z). The expression Biological organization extends beyond the organism. Which group of terms would be included beyond organism in the same list Phn loi theo kiu b tr (cu trc) ca mu s k ton khng gm s no trong cc s di y So fabricados nos E.U.A.?. Fabricados aqui? Espantada, ela me explicou que seus tnis so produzidos no Brasil e na sia.Bill Krenn, Gerente de relaes pblicas dos sapatos K-Swiss, retornou minha ligao, mas me interrompeu antes que eu pudesse concluir minhas perguntas. No fornecemos informaes sobre a produo, disse. S posso dizer que realizada no exterior.A maioria dos operrios que produzem sapatos no sudeste asitico de adolescentes e mulheres jovens. Eles trabalham de 15 a 16 horas dirias. Muitas mulheres vivem em alojamentos, separadas de suas famlias; em alguns casos so virtuais prisioneiras, proibidas de deixar as instalaes da fbrica sem um passe especial. O salrio mnimo na Indonsia de 1,80 dlar por dia.Telefonei para a Nike mais uma vez, na condio de jornalista. Falei com Keith Peters, diretor de relaes pblicas. Entre longos silncios, ele disse que no economicamente vivel, para a Nike fabricar seus sapatos nos Estados Unidos. (...)Aps a leitura do texto, responda:1- Quais so os lugares citados no texto?2- Qual o assunto retratado pelo texto?3- Quando e onde aconteceram tais fatos?4- Onde so fabricados os produtos consumidos nos EUA?5- Porque os EUA produzem e compram tnis na sia e no fabricam em seu prprio pas? Explique.