30 men are supposed to do a work in 38 days. After 25 days, 5 more men were employed on work for which the work is completed in 1 day before. If 5 more men were not worked then how many days took in delay
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A team of 30 men is supposed to do a work in 38 days. 5 more men were employed after 25 days and the work was finished one day earlier. How many days would it have been delayed if the 5 extra men were not employed?
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Sheetanshu Shekhar, lives in Pune, Maharashtra, India
Answered Mar 4, 2018 · Author has 134answers and 106.2k answer views
Let the amount of work done by each man in a day be x.
So the group’s one day's work is 30x.
Also, amount of work done in 25 days is 25*30x, i.e. 750x.
After 25 days, 5 more men were employed.
So, the group’s one day’s work now is, 35x.
Group worked for 12 more days to complete the work, a day earlier.
So,
750x +(35*12)x = 1
Or, 750x + 420x = 1
Or, x = 1/1170
So, one day’s work of 30 men = 30/1170, i.e. 1/39
Clearly, had 5 more men not joined after 25 days, the work would have been finished after 39 days, thus, delaying the completion by 1 day.
Still have a question? Ask your own!
What is your question?
7 ANSWERS

Sheetanshu Shekhar, lives in Pune, Maharashtra, India
Answered Mar 4, 2018 · Author has 134answers and 106.2k answer views
Let the amount of work done by each man in a day be x.
So the group’s one day's work is 30x.
Also, amount of work done in 25 days is 25*30x, i.e. 750x.
After 25 days, 5 more men were employed.
So, the group’s one day’s work now is, 35x.
Group worked for 12 more days to complete the work, a day earlier.
So,
750x +(35*12)x = 1
Or, 750x + 420x = 1
Or, x = 1/1170
So, one day’s work of 30 men = 30/1170, i.e. 1/39
Clearly, had 5 more men not joined after 25 days, the work would have been finished after 39 days, thus, delaying the completion by 1 day.
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30m*25+35*12=30*x
1170/30=x
I.e39 days which is one day more than usual...
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