A group of workers can complete a piece in work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the ,work is completed. How many approximate days are needed to complete the work?
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The approximate number of days needed to complete the work is 16
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Answer: The approximate answer is 10
Step-by-step explanation:
First assume total works are 50 units.
Each person do 1 work per day.
On the first day- 1 man×1 work=1
On 2nd day- 2 men× 1 work=2
On 3rd day- 3men× 1 work= 3
It continues till their sum becomes 50.
So we get
work done per day= 1+2+3+....+N=50
N is the no. Of days
Sum of cont. Natural no.= N(N+1)/2
Here N(N+1)/2=50
N(N+1)= 100
The approximate value of N is 10. So 10 is the answer.
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