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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
55% (02:10) correct
45%
(02:15)
wrong
based on 153
sessions
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Adam, Bart, and Carol started working together to complete a task in a certain number of days , all working at the same constant rate. In the course of work, they remained absent for a few days and therefore the work was completed 3 days later than planned. If Adam and Bart remained absent for 2 and 4 days more than Carol, then Carol remained absent for how many days?
A. 1 day
B. 2 days
C. 3 days
C. 4 days
E. 5 days
Are You Up For the Challenge: 700 Level Questions
A. 1 day
B. 2 days
C. 3 days
C. 4 days
E. 5 days
Are You Up For the Challenge: 700 Level Questions
05 Jan 2022, 05:20
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The prompt should indicate that A, B and C each produce units at the same uniform rate.
Let the rate for each worker = 1 unit per day.
Implication:
Each worker absence represents a loss of 1 unit.
The greatest number of units that can be produced in a day = 3.
We can PLUG IN THE ANSWERS, which represent the number of units lost because of Carol.
When the correct answer is plugged in, 3 days are required to compensate for the total number of lost units.
B: 2 units lost because of Carol
Since Adam was absent for 2 more days than Carol and Bart for 4 more days than Carol, the total number of units lost because of absences = 2 + 4 + 6 = 12.
Since the greatest number of units that can be produced in a day = 3, at least 4 extra days would be required to account for a loss of 12 units.
Not viable.
Since the prompt indicates that only 3 extra days were required, the correct answer must be SMALLER THAN B.
Bunuel
Let the rate for each worker = 1 unit per day.
Implication:
Each worker absence represents a loss of 1 unit.
The greatest number of units that can be produced in a day = 3.
We can PLUG IN THE ANSWERS, which represent the number of units lost because of Carol.
When the correct answer is plugged in, 3 days are required to compensate for the total number of lost units.
B: 2 units lost because of Carol
Since Adam was absent for 2 more days than Carol and Bart for 4 more days than Carol, the total number of units lost because of absences = 2 + 4 + 6 = 12.
Since the greatest number of units that can be produced in a day = 3, at least 4 extra days would be required to account for a loss of 12 units.
Not viable.
Since the prompt indicates that only 3 extra days were required, the correct answer must be SMALLER THAN B.
11 Nov 2022, 03:11
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Bunuel
I am not very comfortable with the question.
If you talk of three different names, it would seem obvious their speed is different.
But if you are to take the speed of all three to be same, either it should be mentioned clearly or the different names should be replaced by ‘three men working at constant speed’.
The question stat shows many have gone wrong but the question involves very simple calculations.
The work gets delayed by 3 days, so we can take that on average each was absent for 3 days. Thus, total absent days = Average *number of person = 3*3 =9 days.
But we are given that all have different days of absence, 2 and 4 more than the third person.
If the third person is absent for t days, other two are absent for t+2 and t+4 days. But total has to be 9 => t+(t+2)+(t+4)=9......3t+6=9 or t=1 day.
A
