A certain number of answer sheets can be checked in 12 days working 5 ...
D) 9 hours Explanation: Answer sheets are work here. So M1*D1*H1*W2 = M2*D2*H2*W1
9*12*5*2 = 4*30*H2*1
Solve, H2 = 9
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A certain number of answer sheets can be checked in 12 days working 5 ...
Quantitative Aptitude: Work and Time
Given:
- 9 examiners can check a certain number of answer sheets in 12 days working 5 hours each day.
- We need to find how many hours a day should 4 examiners work to check twice the number of answer sheets in 30 days.
To find the solution, we can use the concept of "Work and Time" formula:
Work done = (Number of men) x (Number of hours) x (Rate of work)
Let's assume that the number of answer sheets to be checked is "W".
For the first case, we have:
- Number of men = 9
- Number of hours = 12 x 5 = 60
- Rate of work = W/1 (since they are checking a certain number of answer sheets in 1 unit of time)
So, we can write:
9 x 60 x (W/1) = W
=> 540W = W
=> W = 1 (We assume that the number of answer sheets is 1 for simplicity)
Now, we need to find the number of hours a day should 4 examiners work to check twice the number of answer sheets in 30 days.
For the second case, we have:
- Number of men = 4
- Number of hours = x (unknown)
- Rate of work = 2W/30 (since they need to check twice the number of answer sheets in 30 days)
So, we can write:
4 x x x (2W/30) = W
=> 8xW = 30W
=> x = 30/8
=> x = 3.75 hours/day
Therefore, the answer is option D) 9 hours.