The time to complete a bridge varies inversely with the square root of the number of people working. If 9 people can complete the job in 75 days then how long would it take 25 people?

Answer 1

Hello friend,

Let T be the time and L be the Labour (Number of people working on the bridge)

Solving;

T∞ 1/√L (Inverse relationship)

T=K/√L (Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign)

Where T = 75 and L = 9

75= K/√9

75= K/3

K= 225

First, the relationship between these variables is T=225/√L

Therefore, how long it will take 25 people to d it means that we should look for the time.

T=225/√L

T= 225/√25

T= 225/5

T= 45 days.

QED