Compound Proportion among three quantities Men, Length, and Days (WP No.5: Compound Proportion)

70 men can complete a wall of 150 metres length in 12 days. How many men will complete the wall of length 600 metres in 30 days?

Solution: 

As the length of wall increase, the more men will be needed. so, It is a direct proportion. 

As the working days increase, the less men will be needed. It is a Inverse proportion. 

Let the numbers of men be ｘ then,

Here the equation will be 

`\frac{ｘ}{70}`  = `\frac{600}{150}` ｘ `\frac{12}{30}` 

Or

ｘ = `\frac{600}{150}` ｘ `\frac{12}{30}`   ｘ 70 Men

by simplifying we get

ｘ =  112 Men

Thus, 112 Men will be needed to construct the wall.

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