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It takes 60 days for 10 machines to dig a hole. Assuming that all machines work at the same speed,

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It takes 60 days for 10 machines to dig a hole. Assuming that all machines work at the same speed, how long will it take 30 machines to dig the same hole?

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Let the number of days required be x.

Number of machines  10  30
Number of days 60 x

As the number of machines increases it takes less days to complete the work 

∴ They are in inverse proportion, x1y1 = x2y2

It takes 20 days to dig the hole

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