Question

It takes 40 minutes for 8 people to paint 4 walls. how many minutes does it take 10 people to paint 7 walls?

Answer 1

Answer:

56 minutes

Step-by-step explanation:

Since, when $x_1$ people complete $w_1$ work in $n_1$ days and the same kind of $w_2$ work is done by $x_2$ people in $n_2$ days,

Then,

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

Here,

$x_1 = 8, n_1 = 40, w_1 = 4, x_2 = 10, w_2 = 7$

$\implies \frac{8\times 40}{4}=\frac{10\times n_2}{7}$

$\frac{320}{4}=\frac{10n_2}{7}$

By cross multiplication,

$320\times 7 = 4\times 10n_2$

$\implies n_2 = \frac{320\times 7}{40}=8\times 7 = 56$

Hence, it will take 56 minutes to paint 7 walls by 10 people.

Answer 2

It takes 56 minutes for 10 people to paint 7 walls if 4 walls can be painted in 40 minutes for 8 people.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

8 people can complete paintwork on 4 walls in 40 minutes.

Let's suppose the 10 people can complete the paintwork on 7 walls in x minutes.

To find the value of x:

$\rm \frac{10x}{7} =\frac{40\times 8}{4}$

After performing cross-multiplication, we get:

$\rm 10x \times4 = 40\times 8 \times 7$

40x = 2240

x = 56 minutes   (divide by 40 on both sides)

Thus, 10 people take 56 minutes to paint 7 walls.

Learn more about the fraction here:

brainly.com/question/1301963