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If 3 men or 6 boys can do a piece of work in 10 days,working 7 hours a day; how many days will it take to complete a piece of work twice as large with 6 men and 2 boys working together for 8 hours a day ?

If 3 men or 6 boys can do a piece of work in 10 days,working 7 hours a day; how many days will it take to complete a piece of work twice as large with 6 men and 2 boys working together for 8 hours a day ? Correct Answer 7.5

3 men = 6 boys So (6 men + 2 boys) = (12 boys + 2 days) = 14 boys More work, More days (direct proportion) More boys, Less days (indirect ") More hours per day, less days ( " " ) Work 1 : 2 Boys 14 : 6 : : 10 : x Hours per day 8 : 7 ∴(1×14×8×x) = 2×6×7×10 x = 840/112 = 7.5

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