Question

It was calculated that 75 men could complete a piece of work in 20 days.When work was scheduled to commence, it was found necessary to send 25men to another project. How much longer will it take to complete the work?

Answer 1

It will take at least 93.75?

Answer 2

Answer:10 days

Step-by-step explanation:

75 men could complete a piece of work in 20 days

When work was scheduled to commence, it was found necessary to send 25men to another project. This means that lesser number of men will do same work and it will take them more days. This is an inverse proportion

For inverse proportion, let us introduce constant k

Number of men, n is inversely proportional to number of days, d

n is inversely proportional to d

We introduce k which is our proportionally constant

n =k/d

When n = 75 and d = 20,

k = 20×75 = 1500

So we have

n =1500/d

Since 25 men left, 50 men would be remaining to do the work

50 = 1500/d

d = 1500/50

= 30 days

It will take 50/men 10 days more