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.
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:
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 travelThe 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
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
from the perspective of an employee, the effective channeling of work related information and concerns…
What type of relationship involves people who don’t share the same status?
A. parallel
B. horizontal
C. vertical
D. Circular
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
quality.
hoarding
subdued
mythological
successive
Answer:
Quality
Explanation:
If you substitute the other 4 words, the sentence simply does not make sense
Which model best shows the movement of oxygen during photosynthesis?
Plant
Ò A. Atmosphere
O B. Soil - Plant
C. Plant - Soil
D. Plant - Atmosphere
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?
which of the following is true about office friendships?
Answer:
D. Office friendships lead to a workplace in which socializing rarely occurs.
