Question

10 men can cut 15 trees in 2 hour if two men leave the job how many trees will be cut in 3 hour

Answer 1

I think 18 trees will be cut in 3 hour time frame.  

Answer 2

Answer:

18 trees.

Step-by-step explanation:

Since, if $x_1$ person do $w_1$ work in $n_1$ time, and the same kind of work done by $x_2$ person in $n_2$ time by doing $w_2$ work,

Then, we can write,

$\frac{x_1\times n_1}{w_1}=\frac{x_2\times n_2}{w_2}$

Here, $x_1$ = 10 men, $n_1$ = 2 hours, $w_1$ = 15 trees,

$x_2$ = 10 - 2 = 8 men, $n_2$ = 3 hours

$\implies \frac{10\times 2}{15}=\frac{8\times 3}{w_2}$

$\implies w_2=\frac{24}{20}\times 15=\frac{360}{20}=18$

Hence, 18 trees will be cut by 8 men in 3 hours.