8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14 days find the time taken by a man alone to finish the work.
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Efficiency of man = m
Efficiency of boy = b
(No of people)*(efficiency)*days = total work
(8m + 10b )*10 = (6m + 8b)*14
80m + 100b = 84 m + 112b
4m = 12 b
m=3b
Let no of days to complete work by 1 man = x
Now
1*3b*x = (8*3b +10b)*10
3b*x = 340b
X = 340/3 = 113(1/3) days
Hope it helps
Efficiency of boy = b
(No of people)*(efficiency)*days = total work
(8m + 10b )*10 = (6m + 8b)*14
80m + 100b = 84 m + 112b
4m = 12 b
m=3b
Let no of days to complete work by 1 man = x
Now
1*3b*x = (8*3b +10b)*10
3b*x = 340b
X = 340/3 = 113(1/3) days
Hope it helps
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