6.4 people and 9 boys can do a job in 14 days. The boy takes three times the man's time. June 14 How many days will people be able to complete the work?
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3 men can do the work in 14 days so one man can do it in 42 days i.e. rate of work is 1/42
9 boys can do the work in 14 days so one boy can do it in 126 days i.e. rate of work is 1/126
Now to find total work done by 5 men + 6 boys in a day is
5 x 1/42 + 6 x 1/126
= 21/126
= 1/6
So 5 men and 6 boys working together would take 6 days to complete the work
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