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30 Jul 2024, 08:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:33) correct
31%
(01:41)
wrong
based on 117
sessions
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A can complete a piece of work in 10 days. How many days will B take to complete the same work?
(1) B takes more than 12 days but less than 18 days to complete the work.
(2) When A and B work together to complete the work, B completes 40% of the work.
(1) B takes more than 12 days but less than 18 days to complete the work.
(2) When A and B work together to complete the work, B completes 40% of the work.
05 Oct 2024, 03:39
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Given:
- A can complete the work in 10 days.
- We need to find out how many days B will take to complete the same work.
Statement (1): B takes more than 12 days but less than 18 days to complete the work.
This statement gives us a range for B's work time, but not an exact number. We know that B takes between 12 and 18 days, but we can't determine the exact number of days.
Therefore, Statement (1) alone is not sufficient.
Statement (2): When A and B work together to complete the work, B completes 40% of the work.
- A completes the work in 10 days, so A's daily rate is 1/10 of the work.
- When working together, B completes 40% of the work, which means A completes 60%.
- Let x be the number of days B takes to complete the work alone.
(1/10 + 1/x) * t = 1, where t is the time they take together.
We also know that in time t:
A's contribution + B's contribution = 1
(1/10)t + (1/x)t = 1
From Statement (2):
(1/x)t = 0.4 and (1/10)t = 0.6
Dividing these equations:
(1/x) / (1/10) = 0.4 / 0.6
10/x = 2/3
x = 15
Therefore, Statement (2) alone determines that B takes 15 days to complete the work.
The answer is that (B) Statement (2) ALONE is sufficient.
- A can complete the work in 10 days.
- We need to find out how many days B will take to complete the same work.
Statement (1): B takes more than 12 days but less than 18 days to complete the work.
This statement gives us a range for B's work time, but not an exact number. We know that B takes between 12 and 18 days, but we can't determine the exact number of days.
Therefore, Statement (1) alone is not sufficient.
Statement (2): When A and B work together to complete the work, B completes 40% of the work.
- A completes the work in 10 days, so A's daily rate is 1/10 of the work.
- When working together, B completes 40% of the work, which means A completes 60%.
- Let x be the number of days B takes to complete the work alone.
(1/10 + 1/x) * t = 1, where t is the time they take together.
We also know that in time t:
A's contribution + B's contribution = 1
(1/10)t + (1/x)t = 1
From Statement (2):
(1/x)t = 0.4 and (1/10)t = 0.6
Dividing these equations:
(1/x) / (1/10) = 0.4 / 0.6
10/x = 2/3
x = 15
Therefore, Statement (2) alone determines that B takes 15 days to complete the work.
The answer is that (B) Statement (2) ALONE is sufficient.
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