It took two people to complete carpeting in 10 days. How many more workers need to be hired to complete the same job in 4 days?

5 worker

Step-by-step explanation:

Two men complete carpeting = 10 days

Total time taken to complete the work = Number of men * Number of days

Total time taken to complete the work = 2*10

Total time taken to complete the work = 20

Let x number of men complete the work in 4 days

According to question

4*x = 20

x = 20:4

x=5 men

Number of 5 worker are required to complete the work in 4 days

so two fellows did all the carpeting in 10 days.

now, how long did "1" fellow work only? well, it worked for 10 days.

how long did the other fellow work for? well, it was working alongside the first one, and it was there for also 10 days.

so the two guys working together, really did 10+10 = 20 "days worth of work". So that the whole carpeting job can be done in 20 "days worth of work".

now if we want to finish it in 4 days, 20 : 4 = 5.

so if we hire 5 guys, since each one will do 4 days worth, 5*4 = 20 < - the whole job.