Question

20 men can cut 30 trees in 4 hours. if 4 men leave then how many trees will be cut in 6 hours

Answer 1

I THINK I AM RIGHT

Step-by-step explanation:

As in 4 hours , 20 men can cut 30 trees.

So, in 1 hour , 20 men can cut 30 trees / 4.

So, in 6 hours, 20 men can cut 30 * 6 trees / 4 = 45 trees.

If 4 men left the work so rest people  = 20 - 4 = 16.

Now, 20 men can cut 45 trees in 6 hours.

So, 1 man can cut 45 trees / 20 in 6 hours.

And ,16 men can cut 45 * 16 trees / 20 =  36 trees in 6 hours .

The answer will be 36.

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Answer 2

Given:

• Number of trees cut in 4 hours = 30
• Total number of men = 20

To Find:

• The total number of trees cut in 6 hours when 4 men leave the group.

Solution:

Let,

$M_1$ = total number of men

$T_1$ = Time taken to cut 30 trees

$N_1$ = Total number of trees cut

Total number of men when 4 of the men left are,

$M_2$ = 20-4 = 16

$T_2$ = 6 hours

We form a formula with the help of given data to find the total number of trees cut in 6 hours by 14 men($N_2$).

⇒ $M_1T_1N_2 = M_2T_2N_1$  → (equation 1)

On substituting the given values in the equation (1) we get,

⇒ 20×4×$N_2$  = 16×6×30

⇒ 80$N_2$ = 2880

⇒ $N_2$ = 2880/80

⇒ $N_2$ = 36

∴ 36 trees are cut in 6 hours by 14 men.