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17 Dec 2019, 11:12
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Crew Alpha: 60
Crew Zeta: 30
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
62% (03:34) correct
38%
(03:56)
wrong
based on 110
sessions
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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.
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.
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| Crew Alpha | Crew Zeta | Values |
| 10 | ||
| 20 | ||
| 30 | ||
| 40 | ||
| 50 | ||
| 60 |
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Official Answer
Crew Alpha: 60
Crew Zeta: 30
17 Dec 2019, 11:55
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In 40 hours Alpha crew completed 12*40 = 480m of work
So remaining work is 1500-480= 1020 m
So 12x+10y=1020
So x=60 (Alpha crew work hours)
y=30 (Zeta crew work hours)
Posted from my mobile device
So remaining work is 1500-480= 1020 m
So 12x+10y=1020
So x=60 (Alpha crew work hours)
y=30 (Zeta crew work hours)
Posted from my mobile device
