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Sixty-for men working 8 hrs a day plan to complete a piece of work in 9 days. However, 5 days later they found that they had completed only 40% of the work. They now wanted to finish the remaining portion of the work in 4 more days. How many hours per day should they need to work in order to achieve the target?
- a)11
- b)12
- c)13
- d)15
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Sixty-for men working 8 hrs a day plan to complete a piece of work in ...
► 40% work in 40h → 60% work in 60h.
► Hence, working hours = 60 / 4 = 15 h
Most Upvoted Answer
Sixty-for men working 8 hrs a day plan to complete a piece of work in ...
Given data:
- 60 men plan to complete a piece of work in 9 days working 8 hrs a day
- After 5 days, they found that they had completed only 40% of the work
- They now want to finish the remaining portion of the work in 4 more days
- We need to find how many hours per day they need to work to achieve the target
Calculations:
- Let the total work be W
- Work completed in the first 5 days = 40% of W = 0.4W
- Remaining work = W - 0.4W = 0.6W
- Days left to complete the remaining work = 4
- Total days to complete the entire work = 9 + 5 = 14
- Total work done in 14 days = 60 x 8 x 14 = 6720 man-hours
- Work done in the first 5 days = 60 x 8 x 5 = 2400 man-hours
- Work remaining to be done in the last 4 days = 0.6W
- Work done in the first 5 days + work remaining to be done = total work
- 2400 + 0.6W = 6720
- 0.6W = 4320
- W = 7200
- Work to be done in the last 4 days = 0.6W = 4320
- Man-hours required per day in the last 4 days = 4320 / (60 x 4) = 18
- Hours per day per man in the last 4 days = 18 / 60 = 0.3
Answer:
- The men need to work for 0.3 hours per day or 18 minutes per day to achieve the target
- Converting minutes to hours, the answer is 0.3 x 60 = 18/60 = 0.3 hours per day
- Rounded to the nearest integer, the answer is 0.3 x 60 = 18 minutes per day, which is closest to option A, i.e., 11 hours.
- 60 men plan to complete a piece of work in 9 days working 8 hrs a day
- After 5 days, they found that they had completed only 40% of the work
- They now want to finish the remaining portion of the work in 4 more days
- We need to find how many hours per day they need to work to achieve the target
Calculations:
- Let the total work be W
- Work completed in the first 5 days = 40% of W = 0.4W
- Remaining work = W - 0.4W = 0.6W
- Days left to complete the remaining work = 4
- Total days to complete the entire work = 9 + 5 = 14
- Total work done in 14 days = 60 x 8 x 14 = 6720 man-hours
- Work done in the first 5 days = 60 x 8 x 5 = 2400 man-hours
- Work remaining to be done in the last 4 days = 0.6W
- Work done in the first 5 days + work remaining to be done = total work
- 2400 + 0.6W = 6720
- 0.6W = 4320
- W = 7200
- Work to be done in the last 4 days = 0.6W = 4320
- Man-hours required per day in the last 4 days = 4320 / (60 x 4) = 18
- Hours per day per man in the last 4 days = 18 / 60 = 0.3
Answer:
- The men need to work for 0.3 hours per day or 18 minutes per day to achieve the target
- Converting minutes to hours, the answer is 0.3 x 60 = 18/60 = 0.3 hours per day
- Rounded to the nearest integer, the answer is 0.3 x 60 = 18 minutes per day, which is closest to option A, i.e., 11 hours.
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Community Answer
Sixty-for men working 8 hrs a day plan to complete a piece of work in ...
They completed 40% in 5 days.
with this speed they will take 7.5 days to complete the remaining 60% by working 8 hours in a day. but we need to complete it in 4 days.
so 7.5 days - 8 hours a day
then 8 days - 7.5 hours a day
then 4 days - 15 hours.
'D' is the correct answer.
with this speed they will take 7.5 days to complete the remaining 60% by working 8 hours in a day. but we need to complete it in 4 days.
so 7.5 days - 8 hours a day
then 8 days - 7.5 hours a day
then 4 days - 15 hours.
'D' is the correct answer.
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