Question

9 people can complete the electric fitting in a building in 5 days. How many people are required to complete the electric fitting in 3 days? (Assume that each person works at the same rate.)

Answer 1

Answer:

$\boxed{\sf Number\; of \;people\;required\; to\; complete \;the\; electric\; fitting\; in \;3 \;days = 15}$

Step-by-step explanation:

Number of people who can complete the electric fitting of building in 5 days = 9 people.

Number of people who can complete the electric fitting of building in  3 days = ?

Let the number of  people who can complete the electric fitting of building in  3 days be 'x' .

Total Work  = Total Number of  people × Total days of work $\longrightarrow$ (1)

In Case 1 ,

Total Number of people = 9

Total days of work = 5

∴ Total Work =  9 × 5 = 45 $\longrightarrow$ (2)

We know that ,Total Work in both the cases will be same .

In Case 2 ,

Total days of work = 3

Total Number of people = x

So, From  (1) ,

Total Number of people =              Total Work            

                                                     Total days of work

$\implies$  $\dfrac{45}{3}$    

                                           

Total Number of people required to complete the electric fitting in 3 days = 15 people