6 men and 8 boys can finish a piece of work in 14 days while 8 men and 12 boys can do it in 10 days find the time taken by one man alone and that by one boy alone to finish the work.
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Step-by-step explanation:
14day*(6M+8B)= 10 day*(8M+12B)
84men + 112 boy = 80men + 120boy
4 men = 8 boy
1 man = 2 boy
men-day = 80 men +60men(i.e. 120boy)
= 140men
Time taken by a man to finish the work = 140day
Time taken by a boy to finish the work = 140day *2 = 280 days
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