30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?

Solution: 
As the number of Men increases, the days for road repairing will decrease. It is a Inverse proportion. 
As the working time increase, the days for road repairing will  decrease. It is also a Inverse proportion. 
Let the the days for road repairing be ï½˜


Here the equation will be 

`\frac{x}{56}`  = `\frac{6}{7}` ï½˜ `\frac{30}{45}` 

Or

x = `\frac{6}{7}` ï½˜ `\frac{30}{45}`  ï½˜ 56 days

by simplifying we get

x =  32 days

Thus, In 32 days, 45 men will repair the same road by working 7 hours daily.