Question

24 workers working 6 hours a day can finish a piece of work in 14 days if each worker works 7 hours a day find the number of workers to finish the same piece of work in 8 days

Answer 1

if 24 workers works 6hrs so (24×6=144 Hrs per day ),then 14 days (144×14=2016hrs required to finish work with 24 workers)
so ur asked to finish work in 8days with 7 hrs per day we need to work per day 252 hrs so 36 workers required to finish work with 8days 36×7=252, 252×8=2016hrs

Answer 2

Answer:

36

Step-by-step explanation:

We are given that 24 workers working 6 hours a day can finish a piece of work in 14 days

Let$W_1$ be the work done by 24 workers , $M_1$ be the no. of workers , $D_1$ be the no. of days they worked and $H_1$ no. of hours per day they worked

Now we are supposed to find the number of workers to finish the same piece of work in 8 days  if each worker works 7 hours a day

Let x be the no. of workers

Let$W_2$ be the work done by x workers , $M_2$ be the no. of workers , $D_2$ be the no. of days they worked and $H_2$ no. of hours per day they worked

Formula : $\frac{M_1 \times H_1 \tuimes D_1 }{W_1}=\frac{M_2 \times H_2  \tuimes D_2 }{W_2}$

Substitute the values

$\frac{24 \times 6 \times 14 }{1}=\frac{x \times 7  \times 8 }{1}$

$\frac{24 \times 6 \times 14 }{7  \times 8}=x$

$36=x$

Hence the number of workers to finish the same piece of work in 8 days is 36