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DIRECTIONS for the question: Solve the following question and write the answer (in numerical value).
Twelve men are employed to complete a job in 30 days. After 12 days 6 men leave. How many more days over and above the schedule will be required to complete the job if the remaining men increase their working rate by 50%? (in days)
    Correct answer is '6'. Can you explain this answer?
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    DIRECTIONSfor the question:Solve the following question and write the ...
    ►Total work = 30 * 12 = 360 men days. Work done by 12 men in 12 days = 144 mandays.
    ►Work left = 360 - 144 = 216 mandays. Now as they have increased their efficiency by 50 % so now they will be doing the work of 9 men.
    ►Assuming that they will complete the work in X days.
    ►Then X * 9 = 216 mandays. X = 24 days.
    Hence 6 more days will be taken.
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    Most Upvoted Answer
    DIRECTIONSfor the question:Solve the following question and write the ...
    Given Information:
    - 12 men are employed to complete a job in 30 days.
    - After 12 days, 6 men leave.

    To Find:
    - How many more days over and above the schedule will be required to complete the job if the remaining men increase their working rate by 50%?

    Solution:

    Step 1: Calculate the work done by 12 men in 12 days:
    - Let's assume that the total work required to complete the job is represented by "W".
    - Since 12 men are employed to complete the job in 30 days, the work done by 12 men in one day is "W/30".
    - Therefore, the work done by 12 men in 12 days is (W/30) * 12 = W/2.

    Step 2: Calculate the work remaining after 12 days:
    - Since the work done by 12 men in 12 days is W/2, the work remaining after 12 days is W - (W/2) = W/2.

    Step 3: Calculate the number of men remaining:
    - After 12 days, 6 men leave, so the number of men remaining is 12 - 6 = 6.

    Step 4: Calculate the increased working rate:
    - The remaining men increase their working rate by 50%, which means they will work 1.5 times faster than before.

    Step 5: Calculate the new work done by the remaining men in one day:
    - Since the remaining men are working 1.5 times faster, the work done by the remaining men in one day is (W/30) * 1.5 = W/20.

    Step 6: Calculate the time required to complete the remaining work:
    - Since the work remaining after 12 days is W/2 and the new work done by the remaining men in one day is W/20, the time required to complete the remaining work is (W/2) / (W/20) = 10 days.

    Step 7: Calculate the total time required:
    - The total time required to complete the job is the sum of the time taken for the initial 12 days and the time taken to complete the remaining work.
    - Therefore, the total time required is 12 + 10 = 22 days.

    Step 8: Calculate the extra days over the schedule:
    - The schedule was to complete the job in 30 days, but it took 22 days to complete.
    - Therefore, the extra days over the schedule are 30 - 22 = 8 days.

    Conclusion:
    - The remaining men, working at an increased rate, will require 10 more days to complete the job.
    - Therefore, the total number of days over and above the schedule will be 22 - 12 = 10 days.
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