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Work crews Alpha and Zeta are repaving a section of freeway in Los Angeles. Work crew Alpha started its work one week (40 working hours) earlier than work crew Zeta, and started on the north end of the freeway, working its way south at a rate of 12 meters per hour since starting the job. Now, work crew Zeta has started at the south end, working its way north at a rate of 10 meters per hour. The section of freeway that needs to be repaved is 1.5 kilometers long, including the section that has already been paved. 

Given that each crew will not necessarily work the same number of hours, which of the following answer choices represents an hourly workload for each crew that will finish the project? Please make only one selection in each column.
  • a)
    Crew Alpha: 10 hr
    Crew Zeta: 20 hr
  • b)
    Crew Alpha: 60 hr
    Crew Zeta: 30 hr
  • c)
    Crew Alpha: 40 hr
    Crew Zeta: 10 hr
  • d)
    Crew Alpha: 20 hr
    Crew Zeta: 60 hr
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Work crews Alpha and Zeta are repaving a section of freeway in Los Ang...
To solve this problem, you must create a model that generates the potential solutions. The total distance paved by Crew Alpha is 12*A, and the total distance paved by Crew Zeta is 10*Z, where A and Z are the hours worked by the respective crews. Thus, the answer will be a solution to: 

12A + 10Z = Distance To Be Paved 

Note that 480 meters of highway have already been paved (12 meters/hour * 40 hours), so there are only 1020 meters remaining. This gives you: 

12A + 10Z = 1020 

By plugging in values from one column, you will be able to compare the result with values from the second column, and you will find that A = 60, Z = 30 gives you the correct answer. 

12(60) + 10Z = 1020
10Z = 300
Z = 30
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Most Upvoted Answer
Work crews Alpha and Zeta are repaving a section of freeway in Los Ang...
To solve this problem, we need to determine the number of hours each crew will work in order to complete the project. Let's break it down step by step:

1. Convert the length of the freeway section to meters:
- 1.5 kilometers = 1,500 meters

2. Determine the rate at which each crew is working:
- Work crew Alpha is paving at a rate of 12 meters per hour.
- Work crew Zeta is paving at a rate of 10 meters per hour.

3. Calculate the total number of working hours for each crew:
- Work crew Alpha started one week (40 working hours) earlier than work crew Zeta. So, the total working hours for crew Alpha will be 40 hours plus the additional hours needed to complete the project.
- Work crew Zeta will work the additional hours needed to complete the project.

4. Determine the distance each crew needs to cover:
- Work crew Alpha started at the north end of the freeway and has already paved a certain distance. Let's denote this distance as "d1".
- Work crew Zeta started at the south end of the freeway and needs to pave the remaining distance. Let's denote this distance as "d2".

5. Set up an equation to solve for the number of hours each crew will work:
- The equation is: (d1 + d2) / 12 = (d2) / 10 + 40
- The left side of the equation represents the time it takes for crew Alpha to complete their work (d1 + d2) divided by their rate of 12 meters per hour.
- The right side of the equation represents the time it takes for crew Zeta to complete their work (d2) divided by their rate of 10 meters per hour, plus the 40 additional hours they started later.

6. Solve the equation for the number of hours:
- Simplifying the equation: 10(d1 + d2) = 12(d2) + 480
- Distributing: 10d1 + 10d2 = 12d2 + 480
- Combining like terms: 10d1 - 12d2 = 480
- Rearranging the equation: 2d2 = 10d1 - 480
- Dividing by 2: d2 = 5d1 - 240

7. Substitute the value of d2 back into the equation to solve for d1:
- Substituting: 5d1 - 240 = d2
- Rewriting as: 5d1 - 240 = 5d1 - 240
- The equation is satisfied regardless of the value of d1.

8. Determine the number of hours each crew will work:
- Since d1 and d2 can be any value, we can choose a value that makes the calculation easier. Let's choose d1 = 240 meters, which means d2 = 0 meters.
- Plugging this into the equation: (240 + 0) / 12 = (0) / 10 + 40
- Simplifying: 240 / 12 = 0 + 40
- Solving: 20 = 40
- This equation is not true, so we need to choose a
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Work crews Alpha and Zeta are repaving a section of freeway in Los Angeles. Work crew Alpha started its work one week (40 working hours) earlier than work crew Zeta, and started on the north end of the freeway, working its way south at a rate of 12 meters per hour since starting the job. Now, work crew Zeta has started at the south end, working its way north at a rate of 10 meters per hour. The section of freeway that needs to be repaved is 1.5 kilometers long, including the section that has already been paved.Given that each crew will not necessarily work the same number of hours, which of the following answer choices represents an hourly workload for each crew that will finish the project? Please make only one selection in each column.a)Crew Alpha: 10 hrCrew Zeta: 20 hrb)Crew Alpha: 60 hrCrew Zeta: 30 hrc)Crew Alpha: 40 hrCrew Zeta: 10 hrd)Crew Alpha: 20 hrCrew Zeta: 60 hrCorrect answer is option 'B'. Can you explain this answer?
Question Description
Work crews Alpha and Zeta are repaving a section of freeway in Los Angeles. Work crew Alpha started its work one week (40 working hours) earlier than work crew Zeta, and started on the north end of the freeway, working its way south at a rate of 12 meters per hour since starting the job. Now, work crew Zeta has started at the south end, working its way north at a rate of 10 meters per hour. The section of freeway that needs to be repaved is 1.5 kilometers long, including the section that has already been paved.Given that each crew will not necessarily work the same number of hours, which of the following answer choices represents an hourly workload for each crew that will finish the project? Please make only one selection in each column.a)Crew Alpha: 10 hrCrew Zeta: 20 hrb)Crew Alpha: 60 hrCrew Zeta: 30 hrc)Crew Alpha: 40 hrCrew Zeta: 10 hrd)Crew Alpha: 20 hrCrew Zeta: 60 hrCorrect answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Work crews Alpha and Zeta are repaving a section of freeway in Los Angeles. Work crew Alpha started its work one week (40 working hours) earlier than work crew Zeta, and started on the north end of the freeway, working its way south at a rate of 12 meters per hour since starting the job. Now, work crew Zeta has started at the south end, working its way north at a rate of 10 meters per hour. The section of freeway that needs to be repaved is 1.5 kilometers long, including the section that has already been paved.Given that each crew will not necessarily work the same number of hours, which of the following answer choices represents an hourly workload for each crew that will finish the project? Please make only one selection in each column.a)Crew Alpha: 10 hrCrew Zeta: 20 hrb)Crew Alpha: 60 hrCrew Zeta: 30 hrc)Crew Alpha: 40 hrCrew Zeta: 10 hrd)Crew Alpha: 20 hrCrew Zeta: 60 hrCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Work crews Alpha and Zeta are repaving a section of freeway in Los Angeles. Work crew Alpha started its work one week (40 working hours) earlier than work crew Zeta, and started on the north end of the freeway, working its way south at a rate of 12 meters per hour since starting the job. Now, work crew Zeta has started at the south end, working its way north at a rate of 10 meters per hour. The section of freeway that needs to be repaved is 1.5 kilometers long, including the section that has already been paved.Given that each crew will not necessarily work the same number of hours, which of the following answer choices represents an hourly workload for each crew that will finish the project? Please make only one selection in each column.a)Crew Alpha: 10 hrCrew Zeta: 20 hrb)Crew Alpha: 60 hrCrew Zeta: 30 hrc)Crew Alpha: 40 hrCrew Zeta: 10 hrd)Crew Alpha: 20 hrCrew Zeta: 60 hrCorrect answer is option 'B'. Can you explain this answer?.
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Please make only one selection in each column.a)Crew Alpha: 10 hrCrew Zeta: 20 hrb)Crew Alpha: 60 hrCrew Zeta: 30 hrc)Crew Alpha: 40 hrCrew Zeta: 10 hrd)Crew Alpha: 20 hrCrew Zeta: 60 hrCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Work crews Alpha and Zeta are repaving a section of freeway in Los Angeles. Work crew Alpha started its work one week (40 working hours) earlier than work crew Zeta, and started on the north end of the freeway, working its way south at a rate of 12 meters per hour since starting the job. Now, work crew Zeta has started at the south end, working its way north at a rate of 10 meters per hour. The section of freeway that needs to be repaved is 1.5 kilometers long, including the section that has already been paved.Given that each crew will not necessarily work the same number of hours, which of the following answer choices represents an hourly workload for each crew that will finish the project? Please make only one selection in each column.a)Crew Alpha: 10 hrCrew Zeta: 20 hrb)Crew Alpha: 60 hrCrew Zeta: 30 hrc)Crew Alpha: 40 hrCrew Zeta: 10 hrd)Crew Alpha: 20 hrCrew Zeta: 60 hrCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Work crews Alpha and Zeta are repaving a section of freeway in Los Angeles. Work crew Alpha started its work one week (40 working hours) earlier than work crew Zeta, and started on the north end of the freeway, working its way south at a rate of 12 meters per hour since starting the job. Now, work crew Zeta has started at the south end, working its way north at a rate of 10 meters per hour. The section of freeway that needs to be repaved is 1.5 kilometers long, including the section that has already been paved.Given that each crew will not necessarily work the same number of hours, which of the following answer choices represents an hourly workload for each crew that will finish the project? Please make only one selection in each column.a)Crew Alpha: 10 hrCrew Zeta: 20 hrb)Crew Alpha: 60 hrCrew Zeta: 30 hrc)Crew Alpha: 40 hrCrew Zeta: 10 hrd)Crew Alpha: 20 hrCrew Zeta: 60 hrCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Work crews Alpha and Zeta are repaving a section of freeway in Los Angeles. Work crew Alpha started its work one week (40 working hours) earlier than work crew Zeta, and started on the north end of the freeway, working its way south at a rate of 12 meters per hour since starting the job. Now, work crew Zeta has started at the south end, working its way north at a rate of 10 meters per hour. The section of freeway that needs to be repaved is 1.5 kilometers long, including the section that has already been paved.Given that each crew will not necessarily work the same number of hours, which of the following answer choices represents an hourly workload for each crew that will finish the project? Please make only one selection in each column.a)Crew Alpha: 10 hrCrew Zeta: 20 hrb)Crew Alpha: 60 hrCrew Zeta: 30 hrc)Crew Alpha: 40 hrCrew Zeta: 10 hrd)Crew Alpha: 20 hrCrew Zeta: 60 hrCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
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