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

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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

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Related Questions

Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 2 2/5 hours. How long will it take Maria to do the job alone?

Answers

Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 225 hours. How long will it take Maria to do the job alone?
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Answer is - 12 hours

which one of the following phases best fits the productivity equation?
A. persons from varied backgrounds working together to try to do their job well
B. refusing to become annoyed when a coworker does something that makes you look bad
C. being part of a mutually satisfying relationship with a coworker
D. satisfied employees, with good supervision, achieving or surpassing their performance goals

Answers

D. because it has not only productivity but synergy

Choose the vocabulary word that BEST completes the sentence.
The food writer ate at the restaurant on three nights to get an accurate picture of its
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Answers

Answer:

Quality

Explanation:

If you substitute the other 4 words, the sentence simply does not make sense

The best answer would be quality

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Answers

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